GCD of 100, 402, 969 Calculator

Given Input numbers are 100, 402, 969

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 100, 402, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 402, 969 is 1.

Therefore, GCD of numbers 100, 402, 969 is 1

Given Input Data is 100, 402, 969

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 969 is 3 x 17 x 19

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(100, 402) = 20100

GCD(100, 402) = ( 100 x 402 ) / 20100

GCD(100, 402) = 40200 / 20100

GCD(100, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 969

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

LCM(2, 969) = 1938

GCD(2, 969) = ( 2 x 969 ) / 1938

GCD(2, 969) = 1938 / 1938

GCD(2, 969) = 1

GCD of 100, 402, 969 is 1

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1. What is the GCD of 100, 402, 969?

GCD of 100, 402, 969 is 1

2. Where do I get the detailed procedure to find GCD of 100, 402, 969?

You can find a detailed procedure to find GCD of 100, 402, 969 on our page.

3. How to find GCD of 100, 402, 969 on a calculator?

You can find the GCD of 100, 402, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.