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GCD of 272, 500, 915, 695 Calculator

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


Online GCD Calculator is useful to find the GCD of 272, 500, 915, 695 quickly. Get the easiest ways to solve the greatest common divisor of 272, 500, 915, 695 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 272, 500, 915, 695 with Factoring?

Given Input numbers are 272, 500, 915, 695

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

Divisors of 272 :

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

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695


GCD of numbers is the greatest common divisor

So, the GCD (272, 500, 915, 695) = 1.

Find GCD of 272, 500, 915, 695 using Prime Factorization

Given numbers are 272, 500, 915, 695

The list of prime factors of all numbers are

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

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 915 are 3 x 5 x 61

Prime factors of 695 are 5 x 139

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

Steps to Calculate GCD of 272, 500, 915, 695 using LCM Formula

Given numbers are 272, 500, 915, 695

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

Apply this formula for all numbers.

Step1:

LCM(272, 500) = 34000

GCD(272, 500) = ( 272 x 500 ) / 34000

= 272 / 500

= 272


Step2:

LCM(4, 915) = 3660

GCD(4, 915) = ( 4 x 915 ) / 3660

= 4 / 915

= 4


Step3:

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

= 1 / 695

= 1


So, Greatest Common Divisor of 272, 500, 915, 695 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 272, 500, 915, 695

Given numbers are 272, 500, 915, 695
The greatest common divisor of numbers 272, 500, 915, 695 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 500, 915, 695 is 1.

FAQs on GCD of 272, 500, 915, 695 Calculator

1. What is the GCD of 272, 500, 915, 695?

GCD of given numbers 272, 500, 915, 695 is 1


2. How to calculate the greatest common divisor of 272, 500, 915, 695?

We can find the highest common divisor of 272, 500, 915, 695 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 272, 500, 915, 695 i.e 1.


3. How can I use the GCD of 272, 500, 915, 695Calculator?

Out the numbers 272, 500, 915, 695 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.