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 952, 242, 89, 408 i.e. 1 largest integer that divides all the numbers equally.
GCD of 952, 242, 89, 408 is 1
GCD(952, 242, 89, 408) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 952, 242, 89, 408 is 1
GCD(952, 242, 89, 408) = 1
Given Input numbers are 952, 242, 89, 408
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Greatest Common Divisior
We found the divisors of 952, 242, 89, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 242, 89, 408 is 1.
Therefore, GCD of numbers 952, 242, 89, 408 is 1
Given Input Data is 952, 242, 89, 408
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 89 is 89
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
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(952, 242) = 115192
GCD(952, 242) = ( 952 x 242 ) / 115192
GCD(952, 242) = 230384 / 115192
GCD(952, 242) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 89) = 178
GCD(2, 89) = ( 2 x 89 ) / 178
GCD(2, 89) = 178 / 178
GCD(2, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 408
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 408) = 408
GCD(1, 408) = ( 1 x 408 ) / 408
GCD(1, 408) = 408 / 408
GCD(1, 408) = 1
GCD of 952, 242, 89, 408 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 952, 242, 89, 408?
GCD of 952, 242, 89, 408 is 1
2. Where do I get the detailed procedure to find GCD of 952, 242, 89, 408?
You can find a detailed procedure to find GCD of 952, 242, 89, 408 on our page.
3. How to find GCD of 952, 242, 89, 408 on a calculator?
You can find the GCD of 952, 242, 89, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.