GCD of 108, 270, 191, 972 Calculator

Given Input numbers are 108, 270, 191, 972

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 191 :

The positive integer divisors of 191 that completely divides 191 are.

1, 191

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

GCD of numbers is the greatest common divisor

So, the GCD (108, 270, 191, 972) = 1.

Given numbers are 108, 270, 191, 972

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 191 are 191

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

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

Given numbers are 108, 270, 191, 972

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

Apply this formula for all numbers.

Step1:

LCM(108, 270) = 540

GCD(108, 270) = ( 108 x 270 ) / 540

= 108 / 270

= 108

Step2:

LCM(54, 191) = 10314

GCD(54, 191) = ( 54 x 191 ) / 10314

= 54 / 191

= 54

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 108, 270, 191, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 477, 547, 206
• GCD of 176, 507, 581, 532
• GCD of 617, 547, 758, 195
• GCD of 999, 157, 330, 165
• GCD of 393, 210, 794, 273

Given numbers are 108, 270, 191, 972
The greatest common divisor of numbers 108, 270, 191, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 270, 191, 972 is 1.

1. What is the GCD of 108, 270, 191, 972?

GCD of given numbers 108, 270, 191, 972 is 1

2. How to calculate the greatest common divisor of 108, 270, 191, 972?

We can find the highest common divisor of 108, 270, 191, 972 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 108, 270, 191, 972 i.e 1.

3. How can I use the GCD of 108, 270, 191, 972Calculator?

Out the numbers 108, 270, 191, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.