GCD of 174, 516, 500, 972 Calculator

Given Input numbers are 174, 516, 500, 972

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

Divisors of 174 :

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

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 (174, 516, 500, 972) = 2.

Given numbers are 174, 516, 500, 972

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 174, 516, 500, 972 is 2.

Given numbers are 174, 516, 500, 972

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

Apply this formula for all numbers.

Step1:

LCM(174, 516) = 14964

GCD(174, 516) = ( 174 x 516 ) / 14964

= 174 / 516

= 174

Step2:

LCM(6, 500) = 1500

GCD(6, 500) = ( 6 x 500 ) / 1500

= 6 / 500

= 6

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 174, 516, 500, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 258, 124, 295
• GCD of 940, 308, 642, 880
• GCD of 835, 725, 975, 922
• GCD of 176, 338, 480, 885
• GCD of 259, 710, 792, 592

Given numbers are 174, 516, 500, 972
The greatest common divisor of numbers 174, 516, 500, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 516, 500, 972 is 2.

1. What is the GCD of 174, 516, 500, 972?

GCD of given numbers 174, 516, 500, 972 is 2

2. How to calculate the greatest common divisor of 174, 516, 500, 972?

We can find the highest common divisor of 174, 516, 500, 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 174, 516, 500, 972 i.e 2.

3. How can I use the GCD of 174, 516, 500, 972Calculator?

Out the numbers 174, 516, 500, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.