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GCD of 875, 240, 720, 656 Calculator

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


Online GCD Calculator is useful to find the GCD of 875, 240, 720, 656 quickly. Get the easiest ways to solve the greatest common divisor of 875, 240, 720, 656 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 875, 240, 720, 656 with Factoring?

Given Input numbers are 875, 240, 720, 656

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

Divisors of 875 :

The positive integer divisors of 875 that completely divides 875 are.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656


GCD of numbers is the greatest common divisor

So, the GCD (875, 240, 720, 656) = 1.

Find GCD of 875, 240, 720, 656 using Prime Factorization

Given numbers are 875, 240, 720, 656

The list of prime factors of all numbers are

Prime factors of 875 are 5 x 5 x 5 x 7

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

Steps to Calculate GCD of 875, 240, 720, 656 using LCM Formula

Given numbers are 875, 240, 720, 656

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

Apply this formula for all numbers.

Step1:

LCM(875, 240) = 42000

GCD(875, 240) = ( 875 x 240 ) / 42000

= 875 / 240

= 875


Step2:

LCM(5, 720) = 720

GCD(5, 720) = ( 5 x 720 ) / 720

= 5 / 720

= 5


Step3:

LCM(5, 656) = 3280

GCD(5, 656) = ( 5 x 656 ) / 3280

= 5 / 656

= 5


So, Greatest Common Divisor of 875, 240, 720, 656 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 875, 240, 720, 656

Given numbers are 875, 240, 720, 656
The greatest common divisor of numbers 875, 240, 720, 656 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 240, 720, 656 is 1.

FAQs on GCD of 875, 240, 720, 656 Calculator

1. What is the GCD of 875, 240, 720, 656?

GCD of given numbers 875, 240, 720, 656 is 1


2. How to calculate the greatest common divisor of 875, 240, 720, 656?

We can find the highest common divisor of 875, 240, 720, 656 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 875, 240, 720, 656 i.e 1.


3. How can I use the GCD of 875, 240, 720, 656Calculator?

Out the numbers 875, 240, 720, 656 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.