GCD of 922, 561, 660, 108 Calculator

Given Input numbers are 922, 561, 660, 108

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

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

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

GCD of numbers is the greatest common divisor

So, the GCD (922, 561, 660, 108) = 1.

Given numbers are 922, 561, 660, 108

The list of prime factors of all numbers are

Prime factors of 922 are 2 x 461

Prime factors of 561 are 3 x 11 x 17

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

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

Given numbers are 922, 561, 660, 108

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

Apply this formula for all numbers.

Step1:

LCM(922, 561) = 517242

GCD(922, 561) = ( 922 x 561 ) / 517242

= 922 / 561

= 922

Step2:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

Step3:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

So, Greatest Common Divisor of 922, 561, 660, 108 is 1

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Given numbers are 922, 561, 660, 108
The greatest common divisor of numbers 922, 561, 660, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 922, 561, 660, 108 is 1.

1. What is the GCD of 922, 561, 660, 108?

GCD of given numbers 922, 561, 660, 108 is 1

2. How to calculate the greatest common divisor of 922, 561, 660, 108?

We can find the highest common divisor of 922, 561, 660, 108 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 922, 561, 660, 108 i.e 1.

3. How can I use the GCD of 922, 561, 660, 108Calculator?

Out the numbers 922, 561, 660, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.