GCD of 628, 171, 745, 972 Calculator

Given Input numbers are 628, 171, 745, 972

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 171 :

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

1, 3, 9, 19, 57, 171

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

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 (628, 171, 745, 972) = 1.

Given numbers are 628, 171, 745, 972

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 171 are 3 x 3 x 19

Prime factors of 745 are 5 x 149

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

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

Given numbers are 628, 171, 745, 972

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

Apply this formula for all numbers.

Step1:

LCM(628, 171) = 107388

GCD(628, 171) = ( 628 x 171 ) / 107388

= 628 / 171

= 628

Step2:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 628, 171, 745, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 438, 508, 184
• GCD of 846, 724, 822, 189
• GCD of 751, 949, 737, 494
• GCD of 247, 150, 667, 876
• GCD of 201, 439, 870, 425

Given numbers are 628, 171, 745, 972
The greatest common divisor of numbers 628, 171, 745, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 171, 745, 972 is 1.

1. What is the GCD of 628, 171, 745, 972?

GCD of given numbers 628, 171, 745, 972 is 1

2. How to calculate the greatest common divisor of 628, 171, 745, 972?

We can find the highest common divisor of 628, 171, 745, 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 628, 171, 745, 972 i.e 1.

3. How can I use the GCD of 628, 171, 745, 972Calculator?

Out the numbers 628, 171, 745, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.