GCD of 132, 256, 504, 502 Calculator

Given Input numbers are 132, 256, 504, 502

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 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

GCD of numbers is the greatest common divisor

So, the GCD (132, 256, 504, 502) = 2.

Given numbers are 132, 256, 504, 502

The list of prime factors of all numbers are

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

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 502 are 2 x 251

The highest common occurrence is 2¹

Therefore, GCD of 132, 256, 504, 502 is 2.

Given numbers are 132, 256, 504, 502

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

Apply this formula for all numbers.

Step1:

LCM(132, 256) = 8448

GCD(132, 256) = ( 132 x 256 ) / 8448

= 132 / 256

= 132

Step2:

LCM(4, 504) = 504

GCD(4, 504) = ( 4 x 504 ) / 504

= 4 / 504

= 4

Step3:

LCM(4, 502) = 1004

GCD(4, 502) = ( 4 x 502 ) / 1004

= 4 / 502

= 4

So, Greatest Common Divisor of 132, 256, 504, 502 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 974, 384, 836
• GCD of 502, 403, 680, 147
• GCD of 496, 588, 200, 276
• GCD of 176, 415, 319, 491
• GCD of 325, 394, 244, 112

Given numbers are 132, 256, 504, 502
The greatest common divisor of numbers 132, 256, 504, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 256, 504, 502 is 2.

1. What is the GCD of 132, 256, 504, 502?

GCD of given numbers 132, 256, 504, 502 is 2

2. How to calculate the greatest common divisor of 132, 256, 504, 502?

We can find the highest common divisor of 132, 256, 504, 502 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, 256, 504, 502 i.e 2.

3. How can I use the GCD of 132, 256, 504, 502Calculator?

Out the numbers 132, 256, 504, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.