GCD of 972, 286, 172, 988 Calculator

Given Input numbers are 972, 286, 172, 988

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 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 172 :

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

1, 2, 4, 43, 86, 172

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (972, 286, 172, 988) = 2.

Given numbers are 972, 286, 172, 988

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 286 are 2 x 11 x 13

Prime factors of 172 are 2 x 2 x 43

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 972, 286, 172, 988 is 2.

Given numbers are 972, 286, 172, 988

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

Apply this formula for all numbers.

Step1:

LCM(972, 286) = 138996

GCD(972, 286) = ( 972 x 286 ) / 138996

= 972 / 286

= 972

Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

Step3:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

So, Greatest Common Divisor of 972, 286, 172, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 238, 955, 141
• GCD of 313, 825, 480, 415
• GCD of 277, 136, 251, 821
• GCD of 959, 367, 808, 506
• GCD of 621, 421, 353, 166

Given numbers are 972, 286, 172, 988
The greatest common divisor of numbers 972, 286, 172, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 286, 172, 988 is 2.

1. What is the GCD of 972, 286, 172, 988?

GCD of given numbers 972, 286, 172, 988 is 2

2. How to calculate the greatest common divisor of 972, 286, 172, 988?

We can find the highest common divisor of 972, 286, 172, 988 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, 286, 172, 988 i.e 2.

3. How can I use the GCD of 972, 286, 172, 988Calculator?

Out the numbers 972, 286, 172, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.