GCD of 972, 504, 171, 210 Calculator

Given Input numbers are 972, 504, 171, 210

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 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

GCD of numbers is the greatest common divisor

So, the GCD (972, 504, 171, 210) = 3.

Given numbers are 972, 504, 171, 210

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 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 171 are 3 x 3 x 19

Prime factors of 210 are 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 972, 504, 171, 210 is 3.

Given numbers are 972, 504, 171, 210

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

Apply this formula for all numbers.

Step1:

LCM(972, 504) = 13608

GCD(972, 504) = ( 972 x 504 ) / 13608

= 972 / 504

= 972

Step2:

LCM(36, 171) = 684

GCD(36, 171) = ( 36 x 171 ) / 684

= 36 / 171

= 36

Step3:

LCM(9, 210) = 630

GCD(9, 210) = ( 9 x 210 ) / 630

= 9 / 210

= 9

So, Greatest Common Divisor of 972, 504, 171, 210 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 141, 732, 964
• GCD of 868, 959, 161, 370
• GCD of 157, 619, 873, 768
• GCD of 617, 446, 331, 558
• GCD of 186, 129, 573, 135

Given numbers are 972, 504, 171, 210
The greatest common divisor of numbers 972, 504, 171, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 504, 171, 210 is 3.

1. What is the GCD of 972, 504, 171, 210?

GCD of given numbers 972, 504, 171, 210 is 3

2. How to calculate the greatest common divisor of 972, 504, 171, 210?

We can find the highest common divisor of 972, 504, 171, 210 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, 504, 171, 210 i.e 3.

3. How can I use the GCD of 972, 504, 171, 210Calculator?

Out the numbers 972, 504, 171, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.