GCD of 132, 972, 247, 172 Calculator

Given Input numbers are 132, 972, 247, 172

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

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 247 :

The positive integer divisors of 247 that completely divides 247 are.

1, 13, 19, 247

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (132, 972, 247, 172) = 1.

Given numbers are 132, 972, 247, 172

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

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

Prime factors of 247 are 13 x 19

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 132, 972, 247, 172

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

Apply this formula for all numbers.

Step1:

LCM(132, 972) = 10692

GCD(132, 972) = ( 132 x 972 ) / 10692

= 132 / 972

= 132

Step2:

LCM(12, 247) = 2964

GCD(12, 247) = ( 12 x 247 ) / 2964

= 12 / 247

= 12

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 132, 972, 247, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 509, 590, 562
• GCD of 109, 134, 943, 816
• GCD of 882, 485, 488, 534
• GCD of 247, 240, 594, 106
• GCD of 261, 802, 985, 669

Given numbers are 132, 972, 247, 172
The greatest common divisor of numbers 132, 972, 247, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 972, 247, 172 is 1.

1. What is the GCD of 132, 972, 247, 172?

GCD of given numbers 132, 972, 247, 172 is 1

2. How to calculate the greatest common divisor of 132, 972, 247, 172?

We can find the highest common divisor of 132, 972, 247, 172 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 132, 972, 247, 172 i.e 1.

3. How can I use the GCD of 132, 972, 247, 172Calculator?

Out the numbers 132, 972, 247, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.