GCD of 972, 136, 388, 735 Calculator

Given Input numbers are 972, 136, 388, 735

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 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (972, 136, 388, 735) = 1.

Given numbers are 972, 136, 388, 735

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 136 are 2 x 2 x 2 x 17

Prime factors of 388 are 2 x 2 x 97

Prime factors of 735 are 3 x 5 x 7 x 7

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

Given numbers are 972, 136, 388, 735

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

Apply this formula for all numbers.

Step1:

LCM(972, 136) = 33048

GCD(972, 136) = ( 972 x 136 ) / 33048

= 972 / 136

= 972

Step2:

LCM(4, 388) = 388

GCD(4, 388) = ( 4 x 388 ) / 388

= 4 / 388

= 4

Step3:

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

= 4 / 735

= 4

So, Greatest Common Divisor of 972, 136, 388, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 804, 525, 250
• GCD of 678, 822, 168, 222
• GCD of 833, 970, 924, 489
• GCD of 199, 374, 260, 799
• GCD of 580, 606, 354, 342

Given numbers are 972, 136, 388, 735
The greatest common divisor of numbers 972, 136, 388, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 136, 388, 735 is 1.

1. What is the GCD of 972, 136, 388, 735?

GCD of given numbers 972, 136, 388, 735 is 1

2. How to calculate the greatest common divisor of 972, 136, 388, 735?

We can find the highest common divisor of 972, 136, 388, 735 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, 136, 388, 735 i.e 1.

3. How can I use the GCD of 972, 136, 388, 735Calculator?

Out the numbers 972, 136, 388, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.