GCD of 100, 935, 142 Calculator

Given Input numbers are 100, 935, 142

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 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 100, 935, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 935, 142 is 1.

Therefore, GCD of numbers 100, 935, 142 is 1

Given Input Data is 100, 935, 142

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 935 is 5 x 11 x 17

Prime Factorization of 142 is 2 x 71

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, 935) = 18700

GCD(100, 935) = ( 100 x 935 ) / 18700

GCD(100, 935) = 93500 / 18700

GCD(100, 935) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 142

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

LCM(5, 142) = 710

GCD(5, 142) = ( 5 x 142 ) / 710

GCD(5, 142) = 710 / 710

GCD(5, 142) = 1

GCD of 100, 935, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 107, 550
• GCD of 840, 837, 499
• GCD of 358, 771, 647
• GCD of 106, 898, 751
• GCD of 891, 245, 274

1. What is the GCD of 100, 935, 142?

GCD of 100, 935, 142 is 1

2. Where do I get the detailed procedure to find GCD of 100, 935, 142?

You can find a detailed procedure to find GCD of 100, 935, 142 on our page.

3. How to find GCD of 100, 935, 142 on a calculator?

You can find the GCD of 100, 935, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.