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GCD of 660, 105, 631, 316 Calculator

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


Online GCD Calculator is useful to find the GCD of 660, 105, 631, 316 quickly. Get the easiest ways to solve the greatest common divisor of 660, 105, 631, 316 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 105, 631, 316 with Factoring?

Given Input numbers are 660, 105, 631, 316

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

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 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 631 :

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

1, 631

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316


GCD of numbers is the greatest common divisor

So, the GCD (660, 105, 631, 316) = 1.

Find GCD of 660, 105, 631, 316 using Prime Factorization

Given numbers are 660, 105, 631, 316

The list of prime factors of all numbers are

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

Prime factors of 105 are 3 x 5 x 7

Prime factors of 631 are 631

Prime factors of 316 are 2 x 2 x 79

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

Steps to Calculate GCD of 660, 105, 631, 316 using LCM Formula

Given numbers are 660, 105, 631, 316

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

Apply this formula for all numbers.

Step1:

LCM(660, 105) = 4620

GCD(660, 105) = ( 660 x 105 ) / 4620

= 660 / 105

= 660


Step2:

LCM(15, 631) = 9465

GCD(15, 631) = ( 15 x 631 ) / 9465

= 15 / 631

= 15


Step3:

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

= 1 / 316

= 1


So, Greatest Common Divisor of 660, 105, 631, 316 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 105, 631, 316

Given numbers are 660, 105, 631, 316
The greatest common divisor of numbers 660, 105, 631, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 105, 631, 316 is 1.

FAQs on GCD of 660, 105, 631, 316 Calculator

1. What is the GCD of 660, 105, 631, 316?

GCD of given numbers 660, 105, 631, 316 is 1


2. How to calculate the greatest common divisor of 660, 105, 631, 316?

We can find the highest common divisor of 660, 105, 631, 316 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 660, 105, 631, 316 i.e 1.


3. How can I use the GCD of 660, 105, 631, 316Calculator?

Out the numbers 660, 105, 631, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.