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GCD of 920, 249, 679, 728 Calculator

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


Online GCD Calculator is useful to find the GCD of 920, 249, 679, 728 quickly. Get the easiest ways to solve the greatest common divisor of 920, 249, 679, 728 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 920, 249, 679, 728 with Factoring?

Given Input numbers are 920, 249, 679, 728

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 679 :

The positive integer divisors of 679 that completely divides 679 are.

1, 7, 97, 679

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728


GCD of numbers is the greatest common divisor

So, the GCD (920, 249, 679, 728) = 1.

Find GCD of 920, 249, 679, 728 using Prime Factorization

Given numbers are 920, 249, 679, 728

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 249 are 3 x 83

Prime factors of 679 are 7 x 97

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Steps to Calculate GCD of 920, 249, 679, 728 using LCM Formula

Given numbers are 920, 249, 679, 728

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

Apply this formula for all numbers.

Step1:

LCM(920, 249) = 229080

GCD(920, 249) = ( 920 x 249 ) / 229080

= 920 / 249

= 920


Step2:

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

= 1 / 679

= 1


Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1


So, Greatest Common Divisor of 920, 249, 679, 728 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 920, 249, 679, 728

Given numbers are 920, 249, 679, 728
The greatest common divisor of numbers 920, 249, 679, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 249, 679, 728 is 1.

FAQs on GCD of 920, 249, 679, 728 Calculator

1. What is the GCD of 920, 249, 679, 728?

GCD of given numbers 920, 249, 679, 728 is 1


2. How to calculate the greatest common divisor of 920, 249, 679, 728?

We can find the highest common divisor of 920, 249, 679, 728 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 920, 249, 679, 728 i.e 1.


3. How can I use the GCD of 920, 249, 679, 728Calculator?

Out the numbers 920, 249, 679, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.