GCD of 660, 769, 900, 113 Calculator

Given Input numbers are 660, 769, 900, 113

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 660, 769, 900, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 769, 900, 113 is 1.

Therefore, GCD of numbers 660, 769, 900, 113 is 1

Given Input Data is 660, 769, 900, 113

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 769 is 769

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 113 is 113

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(660, 769) = 507540

GCD(660, 769) = ( 660 x 769 ) / 507540

GCD(660, 769) = 507540 / 507540

GCD(660, 769) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 660, 769, 900, 113 is 1

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• GCD of 270, 119, 928, 677
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1. What is the GCD of 660, 769, 900, 113?

GCD of 660, 769, 900, 113 is 1

2. Where do I get the detailed procedure to find GCD of 660, 769, 900, 113?

You can find a detailed procedure to find GCD of 660, 769, 900, 113 on our page.

3. How to find GCD of 660, 769, 900, 113 on a calculator?

You can find the GCD of 660, 769, 900, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.