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 356, 195, 742, 292 i.e. 1 largest integer that divides all the numbers equally.
GCD of 356, 195, 742, 292 is 1
GCD(356, 195, 742, 292) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 356, 195, 742, 292 is 1
GCD(356, 195, 742, 292) = 1
Given Input numbers are 356, 195, 742, 292
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 195
List of positive integer divisors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Greatest Common Divisior
We found the divisors of 356, 195, 742, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 195, 742, 292 is 1.
Therefore, GCD of numbers 356, 195, 742, 292 is 1
Given Input Data is 356, 195, 742, 292
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 195 is 3 x 5 x 13
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 292 is 2 x 2 x 73
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(356, 195) = 69420
GCD(356, 195) = ( 356 x 195 ) / 69420
GCD(356, 195) = 69420 / 69420
GCD(356, 195) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 292) = 292
GCD(1, 292) = ( 1 x 292 ) / 292
GCD(1, 292) = 292 / 292
GCD(1, 292) = 1
GCD of 356, 195, 742, 292 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 356, 195, 742, 292?
GCD of 356, 195, 742, 292 is 1
2. Where do I get the detailed procedure to find GCD of 356, 195, 742, 292?
You can find a detailed procedure to find GCD of 356, 195, 742, 292 on our page.
3. How to find GCD of 356, 195, 742, 292 on a calculator?
You can find the GCD of 356, 195, 742, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.