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GCD of 756, 427, 253, 918 Calculator

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


Online GCD Calculator is useful to find the GCD of 756, 427, 253, 918 quickly. Get the easiest ways to solve the greatest common divisor of 756, 427, 253, 918 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 756, 427, 253, 918 with Factoring?

Given Input numbers are 756, 427, 253, 918

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918


GCD of numbers is the greatest common divisor

So, the GCD (756, 427, 253, 918) = 1.

Find GCD of 756, 427, 253, 918 using Prime Factorization

Given numbers are 756, 427, 253, 918

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 427 are 7 x 61

Prime factors of 253 are 11 x 23

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Steps to Calculate GCD of 756, 427, 253, 918 using LCM Formula

Given numbers are 756, 427, 253, 918

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

Apply this formula for all numbers.

Step1:

LCM(756, 427) = 46116

GCD(756, 427) = ( 756 x 427 ) / 46116

= 756 / 427

= 756


Step2:

LCM(7, 253) = 1771

GCD(7, 253) = ( 7 x 253 ) / 1771

= 7 / 253

= 7


Step3:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1


So, Greatest Common Divisor of 756, 427, 253, 918 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 756, 427, 253, 918

Given numbers are 756, 427, 253, 918
The greatest common divisor of numbers 756, 427, 253, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 427, 253, 918 is 1.

FAQs on GCD of 756, 427, 253, 918 Calculator

1. What is the GCD of 756, 427, 253, 918?

GCD of given numbers 756, 427, 253, 918 is 1


2. How to calculate the greatest common divisor of 756, 427, 253, 918?

We can find the highest common divisor of 756, 427, 253, 918 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 756, 427, 253, 918 i.e 1.


3. How can I use the GCD of 756, 427, 253, 918Calculator?

Out the numbers 756, 427, 253, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.