GCD of 756, 740, 687, 650 Calculator

Given Input numbers are 756, 740, 687, 650

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

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 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 756, 740, 687, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 740, 687, 650 is 1.

Therefore, GCD of numbers 756, 740, 687, 650 is 1

Given Input Data is 756, 740, 687, 650

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

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

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 687 is 3 x 229

Prime Factorization of 650 is 2 x 5 x 5 x 13

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(756, 740) = 139860

GCD(756, 740) = ( 756 x 740 ) / 139860

GCD(756, 740) = 559440 / 139860

GCD(756, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 687

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

LCM(4, 687) = 2748

GCD(4, 687) = ( 4 x 687 ) / 2748

GCD(4, 687) = 2748 / 2748

GCD(4, 687) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

GCD of 756, 740, 687, 650 is 1

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1. What is the GCD of 756, 740, 687, 650?

GCD of 756, 740, 687, 650 is 1

2. Where do I get the detailed procedure to find GCD of 756, 740, 687, 650?

You can find a detailed procedure to find GCD of 756, 740, 687, 650 on our page.

3. How to find GCD of 756, 740, 687, 650 on a calculator?

You can find the GCD of 756, 740, 687, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.