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GCD of 932, 724, 420, 928 Calculator

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


Online GCD Calculator is useful to find the GCD of 932, 724, 420, 928 quickly. Get the easiest ways to solve the greatest common divisor of 932, 724, 420, 928 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 932, 724, 420, 928 with Factoring?

Given Input numbers are 932, 724, 420, 928

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

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928


GCD of numbers is the greatest common divisor

So, the GCD (932, 724, 420, 928) = 4.

Find GCD of 932, 724, 420, 928 using Prime Factorization

Given numbers are 932, 724, 420, 928

The list of prime factors of all numbers are

Prime factors of 932 are 2 x 2 x 233

Prime factors of 724 are 2 x 2 x 181

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

The highest common occurrence is 22

Therefore, GCD of 932, 724, 420, 928 is 4.

Steps to Calculate GCD of 932, 724, 420, 928 using LCM Formula

Given numbers are 932, 724, 420, 928

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

Apply this formula for all numbers.

Step1:

LCM(932, 724) = 168692

GCD(932, 724) = ( 932 x 724 ) / 168692

= 932 / 724

= 932


Step2:

LCM(4, 420) = 420

GCD(4, 420) = ( 4 x 420 ) / 420

= 4 / 420

= 4


Step3:

LCM(4, 928) = 928

GCD(4, 928) = ( 4 x 928 ) / 928

= 4 / 928

= 4


So, Greatest Common Divisor of 932, 724, 420, 928 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 932, 724, 420, 928

Given numbers are 932, 724, 420, 928
The greatest common divisor of numbers 932, 724, 420, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 932, 724, 420, 928 is 4.

FAQs on GCD of 932, 724, 420, 928 Calculator

1. What is the GCD of 932, 724, 420, 928?

GCD of given numbers 932, 724, 420, 928 is 4


2. How to calculate the greatest common divisor of 932, 724, 420, 928?

We can find the highest common divisor of 932, 724, 420, 928 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 932, 724, 420, 928 i.e 4.


3. How can I use the GCD of 932, 724, 420, 928Calculator?

Out the numbers 932, 724, 420, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.