Fbmanager.cs

using System.Collections;
using System.Collections.Generic;
using UnityEngine;
using UnityEngine.UI;
using Facebook.Unity;

public class FBManager : MonoBehaviour {

	public Text txtStatus;
	public GameObject btnLi, btnLo;
	//public GameObject ProfilePicture;
	public Image ProfilePicture;

	void Awake ()
	{
		if (!FB.IsInitialized) {
			FB.Init(InitCallback, OnHideUnity);
		} else {
			FB.ActivateApp();
		}
	}

	private void InitCallback ()
	{
		if (FB.IsInitialized) {
			FB.ActivateApp ();
		} else {
			txtStatus.text = "Failed to Initialize the Facebook SDK";
		}

		if (FB.IsLoggedIn) {
			FB.API ("/me?fields=name", HttpMethod.GET, DispName);
			FB.API("me/picture?type=square&height=128&width=128", HttpMethod.GET, GetPicture);
			btnLi.SetActive (false); btnLo.SetActive (true);
		} else {
			txtStatus.text = "Please login to continue.";
			btnLi.SetActive (true); btnLo.SetActive (false);
		}
	}

	private void OnHideUnity (bool isGameShown)
	{
		if (!isGameShown) {
			Time.timeScale = 0; //pause
		} else {
			Time.timeScale = 1; //resume
		}
	}

	public void LoginWithFB(){
		var perms = new List<string>(){"public_profile"};
		FB.LogInWithReadPermissions(perms, AuthCallback);
	}

	public void LogoutFromFB(){
		FB.LogOut (); btnLi.SetActive (true); btnLo.SetActive (false);
	}
		
	private void AuthCallback (ILoginResult result) {
		if (result.Error != null) {
			txtStatus.text = result.Error;
		} 
	}

	void DispName(IResult result){
		if (result.Error != null) {
			txtStatus.text = result.Error;
		} else {
			txtStatus.text = "Hi there: " + result.ResultDictionary ["name"];
		}
	}

	private void GetPicture(IGraphResult result)
	{
		if (result.Error == null && result.Texture != null)
		{       
			//http://stackoverflow.com/questions/19756453/how-to-get-users-profile-picture-with-facebooks-unity-sdk
			/*if (result.Texture != null) {
				Image img = ProfilePicture.GetComponent<Image> ();
				img.sprite = Sprite.Create (result.Texture, new Rect (0, 0, 128, 128), new Vector2 ());
			}*/
			ProfilePicture.sprite = Sprite.Create (result.Texture, new Rect (0, 0, 128, 128), new Vector2 ());
		}
	}
}

Hi i tried your code for fetching my profile pic it worked on PC but when i try to build my project on android my profile pic get scaled or zoomed not fitting into my UI image can u help?

public void fetchProfilePic()
{

    FB.API("me/picture?type=square&height=70&width=70", HttpMethod.GET, GetPicture);
}

private void GetPicture(IGraphResult result)
{
if (result.Error == null && result.Texture != null)
{
Texture2D image = result.Texture;
Image img = navbarProfilePic.GetComponent ();
img.sprite = Sprite.Create (image, new Rect (0, 0, 70, 70), new Vector2 (0.5f,0.5f));

    }
}

navbarProfilePic is actual image where i am trying to put my fb profile picture

Just replace

ProfilePicture.sprite = Sprite.Create (result.Texture, new Rect (0, 0, 128, 128), new Vector2 ());

Line with

ProfilePicture.sprite = Sprite.Create(result.Texture, new Rect(0, 0, result.Texture.width, result.Texture.height), new Vector2());