Where do I get the detailed procedure to find GCD of 100, 938, 956?

You can find a detailed procedure to find GCD of 100, 938, 956 on our page.

How to find GCD of 100, 938, 956 on a calculator?

You can find the GCD of 100, 938, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 100, 938, 956 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Online GCD Calculator is useful to find the GCD of 100, 938, 956 quickly. Get the easiest ways to solve the greatest common divisor of 100, 938, 956 i.e 2 in different methods as follows.

How to Find GCD of Numbers 100, 938, 956 with Factoring?

Given Input numbers are 100, 938, 956

In the factoring method, we have to find the divisors of all numbers

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

GCD of numbers is the greatest common divisor

So, the GCD (100, 938, 956) = 2.

Find GCD of 100, 938, 956 using Prime Factorization

Given numbers are 100, 938, 956

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 938 are 2 x 7 x 67

Prime factors of 956 are 2 x 2 x 239

The highest common occurrence is 2¹

Therefore, GCD of 100, 938, 956 is 2.

Steps to Calculate GCD of 100, 938, 956 using LCM Formula

Given numbers are 100, 938, 956

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(100, 938) = 46900

GCD(100, 938) = ( 100 x 938 ) / 46900

= 100 / 938

= 100

Step2:

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

= 2 / 956

= 2

So, Greatest Common Divisor of 100, 938, 956 is 2

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 100, 938, 956

Given numbers are 100, 938, 956
The greatest common divisor of numbers 100, 938, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 938, 956 is 2.

FAQs on GCD of 100, 938, 956 Calculator

1. What is the GCD of 100, 938, 956?

GCD of given numbers 100, 938, 956 is 2

2. How to calculate the greatest common divisor of 100, 938, 956?

We can find the highest common divisor of 100, 938, 956 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 100, 938, 956 i.e 2.

3. How can I use the GCD of 100, 938, 956Calculator?

Out the numbers 100, 938, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.