GCD of 123, 972, 691, 360 Calculator

Given Input numbers are 123, 972, 691, 360

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

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

GCD of numbers is the greatest common divisor

So, the GCD (123, 972, 691, 360) = 1.

Given numbers are 123, 972, 691, 360

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 691 are 691

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

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

Given numbers are 123, 972, 691, 360

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

Apply this formula for all numbers.

Step1:

LCM(123, 972) = 39852

GCD(123, 972) = ( 123 x 972 ) / 39852

= 123 / 972

= 123

Step2:

LCM(3, 691) = 2073

GCD(3, 691) = ( 3 x 691 ) / 2073

= 3 / 691

= 3

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 123, 972, 691, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 787, 843, 881
• GCD of 326, 289, 807, 749
• GCD of 173, 567, 933, 819
• GCD of 485, 914, 678, 924
• GCD of 748, 662, 185, 615

Given numbers are 123, 972, 691, 360
The greatest common divisor of numbers 123, 972, 691, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 972, 691, 360 is 1.

1. What is the GCD of 123, 972, 691, 360?

GCD of given numbers 123, 972, 691, 360 is 1

2. How to calculate the greatest common divisor of 123, 972, 691, 360?

We can find the highest common divisor of 123, 972, 691, 360 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 123, 972, 691, 360 i.e 1.

3. How can I use the GCD of 123, 972, 691, 360Calculator?

Out the numbers 123, 972, 691, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.