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 957, 541, 72, 212 i.e. 1 largest integer that divides all the numbers equally.
GCD of 957, 541, 72, 212 is 1
GCD(957, 541, 72, 212) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 957, 541, 72, 212 is 1
GCD(957, 541, 72, 212) = 1
Given Input numbers are 957, 541, 72, 212
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Greatest Common Divisior
We found the divisors of 957, 541, 72, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 541, 72, 212 is 1.
Therefore, GCD of numbers 957, 541, 72, 212 is 1
Given Input Data is 957, 541, 72, 212
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 541 is 541
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 212 is 2 x 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
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(957, 541) = 517737
GCD(957, 541) = ( 957 x 541 ) / 517737
GCD(957, 541) = 517737 / 517737
GCD(957, 541) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 212
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
GCD(1, 212) = 212 / 212
GCD(1, 212) = 1
GCD of 957, 541, 72, 212 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 957, 541, 72, 212?
GCD of 957, 541, 72, 212 is 1
2. Where do I get the detailed procedure to find GCD of 957, 541, 72, 212?
You can find a detailed procedure to find GCD of 957, 541, 72, 212 on our page.
3. How to find GCD of 957, 541, 72, 212 on a calculator?
You can find the GCD of 957, 541, 72, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.