GCD of 100, 922, 70, 113 Calculator

Given Input numbers are 100, 922, 70, 113

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 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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 100, 922, 70, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 922, 70, 113 is 1.

Therefore, GCD of numbers 100, 922, 70, 113 is 1

Given Input Data is 100, 922, 70, 113

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 922 is 2 x 461

Prime Factorization of 70 is 2 x 5 x 7

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(100, 922) = 46100

GCD(100, 922) = ( 100 x 922 ) / 46100

GCD(100, 922) = 92200 / 46100

GCD(100, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 113

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

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

GCD(2, 113) = 226 / 226

GCD(2, 113) = 1

GCD of 100, 922, 70, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 185, 81, 669
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• GCD of 422, 804, 30, 545
• GCD of 659, 160, 38, 590
• GCD of 558, 197, 33, 698

1. What is the GCD of 100, 922, 70, 113?

GCD of 100, 922, 70, 113 is 1

2. Where do I get the detailed procedure to find GCD of 100, 922, 70, 113?

You can find a detailed procedure to find GCD of 100, 922, 70, 113 on our page.

3. How to find GCD of 100, 922, 70, 113 on a calculator?

You can find the GCD of 100, 922, 70, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.