GCD of 231, 637, 22, 960 Calculator

Given Input numbers are 231, 637, 22, 960

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 637 :

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

1, 7, 13, 49, 91, 637

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (231, 637, 22, 960) = 1.

Given numbers are 231, 637, 22, 960

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 637 are 7 x 7 x 13

Prime factors of 22 are 2 x 11

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 231, 637, 22, 960

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

Apply this formula for all numbers.

Step1:

LCM(231, 637) = 21021

GCD(231, 637) = ( 231 x 637 ) / 21021

= 231 / 637

= 231

Step2:

LCM(7, 22) = 154

GCD(7, 22) = ( 7 x 22 ) / 154

= 7 / 22

= 7

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 231, 637, 22, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 392, 86, 148
• GCD of 327, 321, 24, 948
• GCD of 201, 666, 72, 580
• GCD of 937, 922, 13, 981
• GCD of 268, 176, 89, 471

Given numbers are 231, 637, 22, 960
The greatest common divisor of numbers 231, 637, 22, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 637, 22, 960 is 1.

1. What is the GCD of 231, 637, 22, 960?

GCD of given numbers 231, 637, 22, 960 is 1

2. How to calculate the greatest common divisor of 231, 637, 22, 960?

We can find the highest common divisor of 231, 637, 22, 960 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 231, 637, 22, 960 i.e 1.

3. How can I use the GCD of 231, 637, 22, 960Calculator?

Out the numbers 231, 637, 22, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.