GCD of 132, 100, 507, 519 Calculator

Given Input numbers are 132, 100, 507, 519

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

Divisors of 519 :

The positive integer divisors of 519 that completely divides 519 are.

1, 3, 173, 519

GCD of numbers is the greatest common divisor

So, the GCD (132, 100, 507, 519) = 1.

Given numbers are 132, 100, 507, 519

The list of prime factors of all numbers are

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

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 507 are 3 x 13 x 13

Prime factors of 519 are 3 x 173

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

Given numbers are 132, 100, 507, 519

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

Apply this formula for all numbers.

Step1:

LCM(132, 100) = 3300

GCD(132, 100) = ( 132 x 100 ) / 3300

= 132 / 100

= 132

Step2:

LCM(4, 507) = 2028

GCD(4, 507) = ( 4 x 507 ) / 2028

= 4 / 507

= 4

Step3:

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

= 1 / 519

= 1

So, Greatest Common Divisor of 132, 100, 507, 519 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 108, 632, 811
• GCD of 874, 719, 955, 506
• GCD of 799, 491, 117, 761
• GCD of 424, 874, 474, 215
• GCD of 280, 356, 669, 118

Given numbers are 132, 100, 507, 519
The greatest common divisor of numbers 132, 100, 507, 519 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 100, 507, 519 is 1.

1. What is the GCD of 132, 100, 507, 519?

GCD of given numbers 132, 100, 507, 519 is 1

2. How to calculate the greatest common divisor of 132, 100, 507, 519?

We can find the highest common divisor of 132, 100, 507, 519 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, 100, 507, 519 i.e 1.

3. How can I use the GCD of 132, 100, 507, 519Calculator?

Out the numbers 132, 100, 507, 519 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.