GCD of 972, 188, 59, 135 Calculator

Given Input numbers are 972, 188, 59, 135

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

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 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 59 :

The positive integer divisors of 59 that completely divides 59 are.

1, 59

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (972, 188, 59, 135) = 1.

Given numbers are 972, 188, 59, 135

The list of prime factors of all numbers are

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

Prime factors of 188 are 2 x 2 x 47

Prime factors of 59 are 59

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 972, 188, 59, 135

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

Apply this formula for all numbers.

Step1:

LCM(972, 188) = 45684

GCD(972, 188) = ( 972 x 188 ) / 45684

= 972 / 188

= 972

Step2:

LCM(4, 59) = 236

GCD(4, 59) = ( 4 x 59 ) / 236

= 4 / 59

= 4

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 972, 188, 59, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 576, 422, 27, 441
• GCD of 357, 608, 51, 597
• GCD of 361, 434, 63, 473
• GCD of 528, 930, 13, 437
• GCD of 894, 716, 32, 331

Given numbers are 972, 188, 59, 135
The greatest common divisor of numbers 972, 188, 59, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 188, 59, 135 is 1.

1. What is the GCD of 972, 188, 59, 135?

GCD of given numbers 972, 188, 59, 135 is 1

2. How to calculate the greatest common divisor of 972, 188, 59, 135?

We can find the highest common divisor of 972, 188, 59, 135 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 972, 188, 59, 135 i.e 1.

3. How can I use the GCD of 972, 188, 59, 135Calculator?

Out the numbers 972, 188, 59, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.