GCD of 802, 132, 507, 138 Calculator

Given Input numbers are 802, 132, 507, 138

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

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

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 802, 132, 507, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 132, 507, 138 is 1.

Therefore, GCD of numbers 802, 132, 507, 138 is 1

Given Input Data is 802, 132, 507, 138

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 802 is 2 x 401

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 138 is 2 x 3 x 23

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(802, 132) = 52932

GCD(802, 132) = ( 802 x 132 ) / 52932

GCD(802, 132) = 105864 / 52932

GCD(802, 132) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 507

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

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

GCD(2, 507) = 1014 / 1014

GCD(2, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 802, 132, 507, 138 is 1

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• GCD of 686, 626, 105, 380
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1. What is the GCD of 802, 132, 507, 138?

GCD of 802, 132, 507, 138 is 1

2. Where do I get the detailed procedure to find GCD of 802, 132, 507, 138?

You can find a detailed procedure to find GCD of 802, 132, 507, 138 on our page.

3. How to find GCD of 802, 132, 507, 138 on a calculator?

You can find the GCD of 802, 132, 507, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.