GCD of 35, 900, 901, 975 Calculator

Given Input numbers are 35, 900, 901, 975

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

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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 901

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

1, 17, 53, 901

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 35, 900, 901, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 900, 901, 975 is 1.

Therefore, GCD of numbers 35, 900, 901, 975 is 1

Given Input Data is 35, 900, 901, 975

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

Prime Factorization of 35 is 5 x 7

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

Prime Factorization of 901 is 17 x 53

Prime Factorization of 975 is 3 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(35, 900) = 6300

GCD(35, 900) = ( 35 x 900 ) / 6300

GCD(35, 900) = 31500 / 6300

GCD(35, 900) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 901

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

LCM(5, 901) = 4505

GCD(5, 901) = ( 5 x 901 ) / 4505

GCD(5, 901) = 4505 / 4505

GCD(5, 901) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 35, 900, 901, 975 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 387, 234, 102
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• GCD of 41, 395, 519, 902

1. What is the GCD of 35, 900, 901, 975?

GCD of 35, 900, 901, 975 is 1

2. Where do I get the detailed procedure to find GCD of 35, 900, 901, 975?

You can find a detailed procedure to find GCD of 35, 900, 901, 975 on our page.

3. How to find GCD of 35, 900, 901, 975 on a calculator?

You can find the GCD of 35, 900, 901, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.