GCD of 660, 108, 118, 971 Calculator

Given Input numbers are 660, 108, 118, 971

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

GCD of numbers is the greatest common divisor

So, the GCD (660, 108, 118, 971) = 1.

Given numbers are 660, 108, 118, 971

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 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 118 are 2 x 59

Prime factors of 971 are 971

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

Given numbers are 660, 108, 118, 971

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

Apply this formula for all numbers.

Step1:

LCM(660, 108) = 5940

GCD(660, 108) = ( 660 x 108 ) / 5940

= 660 / 108

= 660

Step2:

LCM(12, 118) = 708

GCD(12, 118) = ( 12 x 118 ) / 708

= 12 / 118

= 12

Step3:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

So, Greatest Common Divisor of 660, 108, 118, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 255, 920, 681
• GCD of 861, 265, 609, 374
• GCD of 424, 959, 119, 180
• GCD of 518, 195, 659, 868
• GCD of 481, 235, 331, 730

Given numbers are 660, 108, 118, 971
The greatest common divisor of numbers 660, 108, 118, 971 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 108, 118, 971 is 1.

1. What is the GCD of 660, 108, 118, 971?

GCD of given numbers 660, 108, 118, 971 is 1

2. How to calculate the greatest common divisor of 660, 108, 118, 971?

We can find the highest common divisor of 660, 108, 118, 971 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, 108, 118, 971 i.e 1.

3. How can I use the GCD of 660, 108, 118, 971Calculator?

Out the numbers 660, 108, 118, 971 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.