GCD of 132, 501, 574, 980 Calculator

Given Input numbers are 132, 501, 574, 980

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (132, 501, 574, 980) = 1.

Given numbers are 132, 501, 574, 980

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 501 are 3 x 167

Prime factors of 574 are 2 x 7 x 41

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

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

Given numbers are 132, 501, 574, 980

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

Apply this formula for all numbers.

Step1:

LCM(132, 501) = 22044

GCD(132, 501) = ( 132 x 501 ) / 22044

= 132 / 501

= 132

Step2:

LCM(3, 574) = 1722

GCD(3, 574) = ( 3 x 574 ) / 1722

= 3 / 574

= 3

Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

So, Greatest Common Divisor of 132, 501, 574, 980 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 315, 251, 671
• GCD of 454, 838, 744, 758
• GCD of 584, 842, 801, 973
• GCD of 534, 126, 846, 854
• GCD of 497, 772, 953, 622

Given numbers are 132, 501, 574, 980
The greatest common divisor of numbers 132, 501, 574, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 501, 574, 980 is 1.

1. What is the GCD of 132, 501, 574, 980?

GCD of given numbers 132, 501, 574, 980 is 1

2. How to calculate the greatest common divisor of 132, 501, 574, 980?

We can find the highest common divisor of 132, 501, 574, 980 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 132, 501, 574, 980 i.e 1.

3. How can I use the GCD of 132, 501, 574, 980Calculator?

Out the numbers 132, 501, 574, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.