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 942, 242, 99, 716 i.e. 1 largest integer that divides all the numbers equally.
GCD of 942, 242, 99, 716 is 1
GCD(942, 242, 99, 716) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 942, 242, 99, 716 is 1
GCD(942, 242, 99, 716) = 1
Given Input numbers are 942, 242, 99, 716
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Greatest Common Divisior
We found the divisors of 942, 242, 99, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 242, 99, 716 is 1.
Therefore, GCD of numbers 942, 242, 99, 716 is 1
Given Input Data is 942, 242, 99, 716
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 716 is 2 x 2 x 179
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(942, 242) = 113982
GCD(942, 242) = ( 942 x 242 ) / 113982
GCD(942, 242) = 227964 / 113982
GCD(942, 242) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 99) = 198
GCD(2, 99) = ( 2 x 99 ) / 198
GCD(2, 99) = 198 / 198
GCD(2, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 716
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 716) = 716
GCD(1, 716) = ( 1 x 716 ) / 716
GCD(1, 716) = 716 / 716
GCD(1, 716) = 1
GCD of 942, 242, 99, 716 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 942, 242, 99, 716?
GCD of 942, 242, 99, 716 is 1
2. Where do I get the detailed procedure to find GCD of 942, 242, 99, 716?
You can find a detailed procedure to find GCD of 942, 242, 99, 716 on our page.
3. How to find GCD of 942, 242, 99, 716 on a calculator?
You can find the GCD of 942, 242, 99, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.