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GCD of 896, 968, 708, 640 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 896, 968, 708, 640 quickly. Get the easiest ways to solve the greatest common divisor of 896, 968, 708, 640 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 896, 968, 708, 640 with Factoring?

Given Input numbers are 896, 968, 708, 640

In the factoring method, we have to find the divisors of all numbers

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640


GCD of numbers is the greatest common divisor

So, the GCD (896, 968, 708, 640) = 4.

Find GCD of 896, 968, 708, 640 using Prime Factorization

Given numbers are 896, 968, 708, 640

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 22

Therefore, GCD of 896, 968, 708, 640 is 4.

Steps to Calculate GCD of 896, 968, 708, 640 using LCM Formula

Given numbers are 896, 968, 708, 640

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(896, 968) = 108416

GCD(896, 968) = ( 896 x 968 ) / 108416

= 896 / 968

= 896


Step2:

LCM(8, 708) = 1416

GCD(8, 708) = ( 8 x 708 ) / 1416

= 8 / 708

= 8


Step3:

LCM(4, 640) = 640

GCD(4, 640) = ( 4 x 640 ) / 640

= 4 / 640

= 4


So, Greatest Common Divisor of 896, 968, 708, 640 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 896, 968, 708, 640

Given numbers are 896, 968, 708, 640
The greatest common divisor of numbers 896, 968, 708, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 968, 708, 640 is 4.

FAQs on GCD of 896, 968, 708, 640 Calculator

1. What is the GCD of 896, 968, 708, 640?

GCD of given numbers 896, 968, 708, 640 is 4


2. How to calculate the greatest common divisor of 896, 968, 708, 640?

We can find the highest common divisor of 896, 968, 708, 640 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 896, 968, 708, 640 i.e 4.


3. How can I use the GCD of 896, 968, 708, 640Calculator?

Out the numbers 896, 968, 708, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.