GCD of 49, 42, 56 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 49, 42, 56 i.e. 7 largest integer that divides all the numbers equally.

GCD of 49, 42, 56 is 7

GCD(49, 42, 56) = 7

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 49, 42, 56 is 7

GCD(49, 42, 56) = 7

GCD of 49,42,56 Calculator

GCDof 49,42,56 is 7

Given Input numbers are 49, 42, 56

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Greatest Common Divisior

We found the divisors of 49, 42, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 42, 56 is 7.

Therefore, GCD of numbers 49, 42, 56 is 7

Finding GCD of 49, 42, 56 using Prime Factorization

Given Input Data is 49, 42, 56

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 56 is 2 x 2 x 2 x 7

Highest common occurrences in the given inputs are 71

Multiplying them we get the GCD as 7

Finding GCD of 49, 42, 56 using LCM Formula

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(49, 42) = 294

GCD(49, 42) = ( 49 x 42 ) / 294

GCD(49, 42) = 2058 / 294

GCD(49, 42) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 56

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

LCM(7, 56) = 56

GCD(7, 56) = ( 7 x 56 ) / 56

GCD(7, 56) = 392 / 56

GCD(7, 56) = 7

GCD of 49, 42, 56 is 7

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 49, 42, 56

1. What is the GCD of 49, 42, 56?

GCD of 49, 42, 56 is 7

2. Where do I get the detailed procedure to find GCD of 49, 42, 56?

You can find a detailed procedure to find GCD of 49, 42, 56 on our page.

3. How to find GCD of 49, 42, 56 on a calculator?

You can find the GCD of 49, 42, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.