GCD of 49, 56, 48 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, 56, 48 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 56, 48 is 1
GCD(49, 56, 48) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 56, 48 is 1
GCD(49, 56, 48) = 1
GCDof 49,56,48 is 1
Given Input numbers are 49, 56, 48
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 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Greatest Common Divisior
We found the divisors of 49, 56, 48 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 56, 48 is 1.
Therefore, GCD of numbers 49, 56, 48 is 1
Given Input Data is 49, 56, 48
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 49, 56, 48 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, 56) = 392
GCD(49, 56) = ( 49 x 56 ) / 392
GCD(49, 56) = 2744 / 392
GCD(49, 56) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 48) = 336
GCD(7, 48) = ( 7 x 48 ) / 336
GCD(7, 48) = 336 / 336
GCD(7, 48) = 1
GCD of 49, 56, 48 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 49, 56, 48
1. What is the GCD of 49, 56, 48?
GCD of 49, 56, 48 is 1
2. Where do I get the detailed procedure to find GCD of 49, 56, 48?
You can find a detailed procedure to find GCD of 49, 56, 48 on our page.
3. How to find GCD of 49, 56, 48 on a calculator?
You can find the GCD of 49, 56, 48 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.