GCD of 132, 579, 414, 654 Calculator

Given Input numbers are 132, 579, 414, 654

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 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (132, 579, 414, 654) = 3.

Given numbers are 132, 579, 414, 654

The list of prime factors of all numbers are

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

Prime factors of 579 are 3 x 193

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 132, 579, 414, 654 is 3.

Given numbers are 132, 579, 414, 654

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

Apply this formula for all numbers.

Step1:

LCM(132, 579) = 25476

GCD(132, 579) = ( 132 x 579 ) / 25476

= 132 / 579

= 132

Step2:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

Step3:

LCM(3, 654) = 654

GCD(3, 654) = ( 3 x 654 ) / 654

= 3 / 654

= 3

So, Greatest Common Divisor of 132, 579, 414, 654 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 946, 643, 395
• GCD of 668, 324, 740, 976
• GCD of 259, 859, 311, 596
• GCD of 829, 432, 967, 128
• GCD of 700, 206, 264, 634

Given numbers are 132, 579, 414, 654
The greatest common divisor of numbers 132, 579, 414, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 579, 414, 654 is 3.

1. What is the GCD of 132, 579, 414, 654?

GCD of given numbers 132, 579, 414, 654 is 3

2. How to calculate the greatest common divisor of 132, 579, 414, 654?

We can find the highest common divisor of 132, 579, 414, 654 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, 579, 414, 654 i.e 3.

3. How can I use the GCD of 132, 579, 414, 654Calculator?

Out the numbers 132, 579, 414, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.