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GCD of 964, 616, 636, 784 Calculator

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


Online GCD Calculator is useful to find the GCD of 964, 616, 636, 784 quickly. Get the easiest ways to solve the greatest common divisor of 964, 616, 636, 784 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 964, 616, 636, 784 with Factoring?

Given Input numbers are 964, 616, 636, 784

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

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784


GCD of numbers is the greatest common divisor

So, the GCD (964, 616, 636, 784) = 4.

Find GCD of 964, 616, 636, 784 using Prime Factorization

Given numbers are 964, 616, 636, 784

The list of prime factors of all numbers are

Prime factors of 964 are 2 x 2 x 241

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

The highest common occurrence is 22

Therefore, GCD of 964, 616, 636, 784 is 4.

Steps to Calculate GCD of 964, 616, 636, 784 using LCM Formula

Given numbers are 964, 616, 636, 784

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

Apply this formula for all numbers.

Step1:

LCM(964, 616) = 148456

GCD(964, 616) = ( 964 x 616 ) / 148456

= 964 / 616

= 964


Step2:

LCM(4, 636) = 636

GCD(4, 636) = ( 4 x 636 ) / 636

= 4 / 636

= 4


Step3:

LCM(4, 784) = 784

GCD(4, 784) = ( 4 x 784 ) / 784

= 4 / 784

= 4


So, Greatest Common Divisor of 964, 616, 636, 784 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 964, 616, 636, 784

Given numbers are 964, 616, 636, 784
The greatest common divisor of numbers 964, 616, 636, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 616, 636, 784 is 4.

FAQs on GCD of 964, 616, 636, 784 Calculator

1. What is the GCD of 964, 616, 636, 784?

GCD of given numbers 964, 616, 636, 784 is 4


2. How to calculate the greatest common divisor of 964, 616, 636, 784?

We can find the highest common divisor of 964, 616, 636, 784 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 964, 616, 636, 784 i.e 4.


3. How can I use the GCD of 964, 616, 636, 784Calculator?

Out the numbers 964, 616, 636, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.