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 540, 354, 88, 622 i.e. 2 largest integer that divides all the numbers equally.
GCD of 540, 354, 88, 622 is 2
GCD(540, 354, 88, 622) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 540, 354, 88, 622 is 2
GCD(540, 354, 88, 622) = 2
Given Input numbers are 540, 354, 88, 622
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 622
List of positive integer divisors of 622 that divides 622 without a remainder.
1, 2, 311, 622
Greatest Common Divisior
We found the divisors of 540, 354, 88, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 540, 354, 88, 622 is 2.
Therefore, GCD of numbers 540, 354, 88, 622 is 2
Given Input Data is 540, 354, 88, 622
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 622 is 2 x 311
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(540, 354) = 31860
GCD(540, 354) = ( 540 x 354 ) / 31860
GCD(540, 354) = 191160 / 31860
GCD(540, 354) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 88) = 264
GCD(6, 88) = ( 6 x 88 ) / 264
GCD(6, 88) = 528 / 264
GCD(6, 88) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 622
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 622) = 622
GCD(2, 622) = ( 2 x 622 ) / 622
GCD(2, 622) = 1244 / 622
GCD(2, 622) = 2
GCD of 540, 354, 88, 622 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 540, 354, 88, 622?
GCD of 540, 354, 88, 622 is 2
2. Where do I get the detailed procedure to find GCD of 540, 354, 88, 622?
You can find a detailed procedure to find GCD of 540, 354, 88, 622 on our page.
3. How to find GCD of 540, 354, 88, 622 on a calculator?
You can find the GCD of 540, 354, 88, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.