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GCD of 928, 101, 765, 724 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, 101, 765, 724 quickly. Get the easiest ways to solve the greatest common divisor of 928, 101, 765, 724 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 928, 101, 765, 724 with Factoring?

Given Input numbers are 928, 101, 765, 724

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 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 724 :

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

1, 2, 4, 181, 362, 724


GCD of numbers is the greatest common divisor

So, the GCD (928, 101, 765, 724) = 1.

Find GCD of 928, 101, 765, 724 using Prime Factorization

Given numbers are 928, 101, 765, 724

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 101 are 101

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 724 are 2 x 2 x 181

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 928, 101, 765, 724 using LCM Formula

Given numbers are 928, 101, 765, 724

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

Apply this formula for all numbers.

Step1:

LCM(928, 101) = 93728

GCD(928, 101) = ( 928 x 101 ) / 93728

= 928 / 101

= 928


Step2:

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

= 1 / 765

= 1


Step3:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1


So, Greatest Common Divisor of 928, 101, 765, 724 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 928, 101, 765, 724

Given numbers are 928, 101, 765, 724
The greatest common divisor of numbers 928, 101, 765, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 101, 765, 724 is 1.

FAQs on GCD of 928, 101, 765, 724 Calculator

1. What is the GCD of 928, 101, 765, 724?

GCD of given numbers 928, 101, 765, 724 is 1


2. How to calculate the greatest common divisor of 928, 101, 765, 724?

We can find the highest common divisor of 928, 101, 765, 724 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, 101, 765, 724 i.e 1.


3. How can I use the GCD of 928, 101, 765, 724Calculator?

Out the numbers 928, 101, 765, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.