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 542, 140, 44 i.e. 2 largest integer that divides all the numbers equally.
GCD of 542, 140, 44 is 2
GCD(542, 140, 44) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 542, 140, 44 is 2
GCD(542, 140, 44) = 2
Given Input numbers are 542, 140, 44
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Greatest Common Divisior
We found the divisors of 542, 140, 44 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 140, 44 is 2.
Therefore, GCD of numbers 542, 140, 44 is 2
Given Input Data is 542, 140, 44
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 542 is 2 x 271
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 44 is 2 x 2 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(542, 140) = 37940
GCD(542, 140) = ( 542 x 140 ) / 37940
GCD(542, 140) = 75880 / 37940
GCD(542, 140) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 44) = 44
GCD(2, 44) = ( 2 x 44 ) / 44
GCD(2, 44) = 88 / 44
GCD(2, 44) = 2
GCD of 542, 140, 44 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 542, 140, 44?
GCD of 542, 140, 44 is 2
2. Where do I get the detailed procedure to find GCD of 542, 140, 44?
You can find a detailed procedure to find GCD of 542, 140, 44 on our page.
3. How to find GCD of 542, 140, 44 on a calculator?
You can find the GCD of 542, 140, 44 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.