GCD of 972, 774, 174 Calculator

Given Input numbers are 972, 774, 174

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 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (972, 774, 174) = 6.

Given numbers are 972, 774, 174

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 774 are 2 x 3 x 3 x 43

Prime factors of 174 are 2 x 3 x 29

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 972, 774, 174 is 6.

Given numbers are 972, 774, 174

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

Apply this formula for all numbers.

Step1:

LCM(972, 774) = 41796

GCD(972, 774) = ( 972 x 774 ) / 41796

= 972 / 774

= 972

Step2:

LCM(18, 174) = 522

GCD(18, 174) = ( 18 x 174 ) / 522

= 18 / 174

= 18

So, Greatest Common Divisor of 972, 774, 174 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 926, 580
• GCD of 381, 422, 619
• GCD of 106, 851, 107
• GCD of 718, 926, 973
• GCD of 708, 304, 617

Given numbers are 972, 774, 174
The greatest common divisor of numbers 972, 774, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 774, 174 is 6.

1. What is the GCD of 972, 774, 174?

GCD of given numbers 972, 774, 174 is 6

2. How to calculate the greatest common divisor of 972, 774, 174?

We can find the highest common divisor of 972, 774, 174 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, 774, 174 i.e 6.

3. How can I use the GCD of 972, 774, 174Calculator?

Out the numbers 972, 774, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.