GCD of 474, 684, 544, 132 Calculator

Given Input numbers are 474, 684, 544, 132

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

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

GCD of numbers is the greatest common divisor

So, the GCD (474, 684, 544, 132) = 2.

Given numbers are 474, 684, 544, 132

The list of prime factors of all numbers are

Prime factors of 474 are 2 x 3 x 79

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 474, 684, 544, 132 is 2.

Given numbers are 474, 684, 544, 132

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

Apply this formula for all numbers.

Step1:

LCM(474, 684) = 54036

GCD(474, 684) = ( 474 x 684 ) / 54036

= 474 / 684

= 474

Step2:

LCM(6, 544) = 1632

GCD(6, 544) = ( 6 x 544 ) / 1632

= 6 / 544

= 6

Step3:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

So, Greatest Common Divisor of 474, 684, 544, 132 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 702, 987, 912
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Given numbers are 474, 684, 544, 132
The greatest common divisor of numbers 474, 684, 544, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 474, 684, 544, 132 is 2.

1. What is the GCD of 474, 684, 544, 132?

GCD of given numbers 474, 684, 544, 132 is 2

2. How to calculate the greatest common divisor of 474, 684, 544, 132?

We can find the highest common divisor of 474, 684, 544, 132 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 474, 684, 544, 132 i.e 2.

3. How can I use the GCD of 474, 684, 544, 132Calculator?

Out the numbers 474, 684, 544, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.