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GCD of 928, 982, 524, 272 Calculator

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


Online GCD Calculator is useful to find the GCD of 928, 982, 524, 272 quickly. Get the easiest ways to solve the greatest common divisor of 928, 982, 524, 272 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 928, 982, 524, 272 with Factoring?

Given Input numbers are 928, 982, 524, 272

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

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

Divisors of 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272


GCD of numbers is the greatest common divisor

So, the GCD (928, 982, 524, 272) = 2.

Find GCD of 928, 982, 524, 272 using Prime Factorization

Given numbers are 928, 982, 524, 272

The list of prime factors of all numbers are

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

Prime factors of 982 are 2 x 491

Prime factors of 524 are 2 x 2 x 131

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 21

Therefore, GCD of 928, 982, 524, 272 is 2.

Steps to Calculate GCD of 928, 982, 524, 272 using LCM Formula

Given numbers are 928, 982, 524, 272

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

Apply this formula for all numbers.

Step1:

LCM(928, 982) = 455648

GCD(928, 982) = ( 928 x 982 ) / 455648

= 928 / 982

= 928


Step2:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2


Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2


So, Greatest Common Divisor of 928, 982, 524, 272 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 928, 982, 524, 272

Given numbers are 928, 982, 524, 272
The greatest common divisor of numbers 928, 982, 524, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 982, 524, 272 is 2.

FAQs on GCD of 928, 982, 524, 272 Calculator

1. What is the GCD of 928, 982, 524, 272?

GCD of given numbers 928, 982, 524, 272 is 2


2. How to calculate the greatest common divisor of 928, 982, 524, 272?

We can find the highest common divisor of 928, 982, 524, 272 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 928, 982, 524, 272 i.e 2.


3. How can I use the GCD of 928, 982, 524, 272Calculator?

Out the numbers 928, 982, 524, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.