GCD of 360, 756, 67, 653 Calculator

Given Input numbers are 360, 756, 67, 653

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 360, 756, 67, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 756, 67, 653 is 1.

Therefore, GCD of numbers 360, 756, 67, 653 is 1

Given Input Data is 360, 756, 67, 653

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 67 is 67

Prime Factorization of 653 is 653

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(360, 756) = 7560

GCD(360, 756) = ( 360 x 756 ) / 7560

GCD(360, 756) = 272160 / 7560

GCD(360, 756) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 67

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

LCM(36, 67) = 2412

GCD(36, 67) = ( 36 x 67 ) / 2412

GCD(36, 67) = 2412 / 2412

GCD(36, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 360, 756, 67, 653 is 1

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1. What is the GCD of 360, 756, 67, 653?

GCD of 360, 756, 67, 653 is 1

2. Where do I get the detailed procedure to find GCD of 360, 756, 67, 653?

You can find a detailed procedure to find GCD of 360, 756, 67, 653 on our page.

3. How to find GCD of 360, 756, 67, 653 on a calculator?

You can find the GCD of 360, 756, 67, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.