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GCD of 360, 660, 238, 637 Calculator

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


Online GCD Calculator is useful to find the GCD of 360, 660, 238, 637 quickly. Get the easiest ways to solve the greatest common divisor of 360, 660, 238, 637 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 360, 660, 238, 637 with Factoring?

Given Input numbers are 360, 660, 238, 637

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637


GCD of numbers is the greatest common divisor

So, the GCD (360, 660, 238, 637) = 1.

Find GCD of 360, 660, 238, 637 using Prime Factorization

Given numbers are 360, 660, 238, 637

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 238 are 2 x 7 x 17

Prime factors of 637 are 7 x 7 x 13

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

Steps to Calculate GCD of 360, 660, 238, 637 using LCM Formula

Given numbers are 360, 660, 238, 637

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

Apply this formula for all numbers.

Step1:

LCM(360, 660) = 3960

GCD(360, 660) = ( 360 x 660 ) / 3960

= 360 / 660

= 360


Step2:

LCM(60, 238) = 7140

GCD(60, 238) = ( 60 x 238 ) / 7140

= 60 / 238

= 60


Step3:

LCM(2, 637) = 1274

GCD(2, 637) = ( 2 x 637 ) / 1274

= 2 / 637

= 2


So, Greatest Common Divisor of 360, 660, 238, 637 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 360, 660, 238, 637

Given numbers are 360, 660, 238, 637
The greatest common divisor of numbers 360, 660, 238, 637 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 660, 238, 637 is 1.

FAQs on GCD of 360, 660, 238, 637 Calculator

1. What is the GCD of 360, 660, 238, 637?

GCD of given numbers 360, 660, 238, 637 is 1


2. How to calculate the greatest common divisor of 360, 660, 238, 637?

We can find the highest common divisor of 360, 660, 238, 637 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 360, 660, 238, 637 i.e 1.


3. How can I use the GCD of 360, 660, 238, 637Calculator?

Out the numbers 360, 660, 238, 637 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.