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GCD of 964, 506, 504, 428 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, 506, 504, 428 quickly. Get the easiest ways to solve the greatest common divisor of 964, 506, 504, 428 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 964, 506, 504, 428 with Factoring?

Given Input numbers are 964, 506, 504, 428

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 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428


GCD of numbers is the greatest common divisor

So, the GCD (964, 506, 504, 428) = 2.

Find GCD of 964, 506, 504, 428 using Prime Factorization

Given numbers are 964, 506, 504, 428

The list of prime factors of all numbers are

Prime factors of 964 are 2 x 2 x 241

Prime factors of 506 are 2 x 11 x 23

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 21

Therefore, GCD of 964, 506, 504, 428 is 2.

Steps to Calculate GCD of 964, 506, 504, 428 using LCM Formula

Given numbers are 964, 506, 504, 428

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

Apply this formula for all numbers.

Step1:

LCM(964, 506) = 243892

GCD(964, 506) = ( 964 x 506 ) / 243892

= 964 / 506

= 964


Step2:

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

= 2 / 504

= 2


Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2


So, Greatest Common Divisor of 964, 506, 504, 428 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 964, 506, 504, 428

Given numbers are 964, 506, 504, 428
The greatest common divisor of numbers 964, 506, 504, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 506, 504, 428 is 2.

FAQs on GCD of 964, 506, 504, 428 Calculator

1. What is the GCD of 964, 506, 504, 428?

GCD of given numbers 964, 506, 504, 428 is 2


2. How to calculate the greatest common divisor of 964, 506, 504, 428?

We can find the highest common divisor of 964, 506, 504, 428 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, 506, 504, 428 i.e 2.


3. How can I use the GCD of 964, 506, 504, 428Calculator?

Out the numbers 964, 506, 504, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.