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GCD of 270, 744, 276, 631 Calculator

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


Online GCD Calculator is useful to find the GCD of 270, 744, 276, 631 quickly. Get the easiest ways to solve the greatest common divisor of 270, 744, 276, 631 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 270, 744, 276, 631 with Factoring?

Given Input numbers are 270, 744, 276, 631

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 631 :

The positive integer divisors of 631 that completely divides 631 are.

1, 631


GCD of numbers is the greatest common divisor

So, the GCD (270, 744, 276, 631) = 1.

Find GCD of 270, 744, 276, 631 using Prime Factorization

Given numbers are 270, 744, 276, 631

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 631 are 631

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

Steps to Calculate GCD of 270, 744, 276, 631 using LCM Formula

Given numbers are 270, 744, 276, 631

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

Apply this formula for all numbers.

Step1:

LCM(270, 744) = 33480

GCD(270, 744) = ( 270 x 744 ) / 33480

= 270 / 744

= 270


Step2:

LCM(6, 276) = 276

GCD(6, 276) = ( 6 x 276 ) / 276

= 6 / 276

= 6


Step3:

LCM(6, 631) = 3786

GCD(6, 631) = ( 6 x 631 ) / 3786

= 6 / 631

= 6


So, Greatest Common Divisor of 270, 744, 276, 631 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 270, 744, 276, 631

Given numbers are 270, 744, 276, 631
The greatest common divisor of numbers 270, 744, 276, 631 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 744, 276, 631 is 1.

FAQs on GCD of 270, 744, 276, 631 Calculator

1. What is the GCD of 270, 744, 276, 631?

GCD of given numbers 270, 744, 276, 631 is 1


2. How to calculate the greatest common divisor of 270, 744, 276, 631?

We can find the highest common divisor of 270, 744, 276, 631 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 270, 744, 276, 631 i.e 1.


3. How can I use the GCD of 270, 744, 276, 631Calculator?

Out the numbers 270, 744, 276, 631 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.