GCD of 909, 976, 900, 635 Calculator

Given Input numbers are 909, 976, 900, 635

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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 635

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

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 909, 976, 900, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 976, 900, 635 is 1.

Therefore, GCD of numbers 909, 976, 900, 635 is 1

Given Input Data is 909, 976, 900, 635

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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

Prime Factorization of 635 is 5 x 127

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(909, 976) = 887184

GCD(909, 976) = ( 909 x 976 ) / 887184

GCD(909, 976) = 887184 / 887184

GCD(909, 976) = 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 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

GCD of 909, 976, 900, 635 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 295, 609, 842
• GCD of 195, 909, 746, 710
• GCD of 565, 375, 517, 388
• GCD of 340, 147, 591, 992
• GCD of 575, 273, 311, 140

1. What is the GCD of 909, 976, 900, 635?

GCD of 909, 976, 900, 635 is 1

2. Where do I get the detailed procedure to find GCD of 909, 976, 900, 635?

You can find a detailed procedure to find GCD of 909, 976, 900, 635 on our page.

3. How to find GCD of 909, 976, 900, 635 on a calculator?

You can find the GCD of 909, 976, 900, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.