GCD of 635, 690, 132, 901 Calculator

Given Input numbers are 635, 690, 132, 901

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

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Greatest Common Divisior

We found the divisors of 635, 690, 132, 901 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 690, 132, 901 is 1.

Therefore, GCD of numbers 635, 690, 132, 901 is 1

Given Input Data is 635, 690, 132, 901

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 690 is 2 x 3 x 5 x 23

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

Prime Factorization of 901 is 17 x 53

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(635, 690) = 87630

GCD(635, 690) = ( 635 x 690 ) / 87630

GCD(635, 690) = 438150 / 87630

GCD(635, 690) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 132

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

LCM(5, 132) = 660

GCD(5, 132) = ( 5 x 132 ) / 660

GCD(5, 132) = 660 / 660

GCD(5, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 901

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

LCM(1, 901) = 901

GCD(1, 901) = ( 1 x 901 ) / 901

GCD(1, 901) = 901 / 901

GCD(1, 901) = 1

GCD of 635, 690, 132, 901 is 1

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1. What is the GCD of 635, 690, 132, 901?

GCD of 635, 690, 132, 901 is 1

2. Where do I get the detailed procedure to find GCD of 635, 690, 132, 901?

You can find a detailed procedure to find GCD of 635, 690, 132, 901 on our page.

3. How to find GCD of 635, 690, 132, 901 on a calculator?

You can find the GCD of 635, 690, 132, 901 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.