GCD of 972, 342, 835, 272 Calculator

Given Input numbers are 972, 342, 835, 272

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 835 :

The positive integer divisors of 835 that completely divides 835 are.

1, 5, 167, 835

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (972, 342, 835, 272) = 1.

Given numbers are 972, 342, 835, 272

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 342 are 2 x 3 x 3 x 19

Prime factors of 835 are 5 x 167

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

Given numbers are 972, 342, 835, 272

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

Apply this formula for all numbers.

Step1:

LCM(972, 342) = 18468

GCD(972, 342) = ( 972 x 342 ) / 18468

= 972 / 342

= 972

Step2:

LCM(18, 835) = 15030

GCD(18, 835) = ( 18 x 835 ) / 15030

= 18 / 835

= 18

Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1

So, Greatest Common Divisor of 972, 342, 835, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 572, 217, 558, 913
• GCD of 678, 312, 735, 391
• GCD of 222, 238, 357, 997
• GCD of 891, 824, 229, 837
• GCD of 982, 554, 639, 424

Given numbers are 972, 342, 835, 272
The greatest common divisor of numbers 972, 342, 835, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 342, 835, 272 is 1.

1. What is the GCD of 972, 342, 835, 272?

GCD of given numbers 972, 342, 835, 272 is 1

2. How to calculate the greatest common divisor of 972, 342, 835, 272?

We can find the highest common divisor of 972, 342, 835, 272 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, 342, 835, 272 i.e 1.

3. How can I use the GCD of 972, 342, 835, 272Calculator?

Out the numbers 972, 342, 835, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.