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 351, 942, 742 i.e. 1 largest integer that divides all the numbers equally.
GCD of 351, 942, 742 is 1
GCD(351, 942, 742) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 351, 942, 742 is 1
GCD(351, 942, 742) = 1
Given Input numbers are 351, 942, 742
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
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 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 351, 942, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 942, 742 is 1.
Therefore, GCD of numbers 351, 942, 742 is 1
Given Input Data is 351, 942, 742
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 742 is 2 x 7 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(351, 942) = 110214
GCD(351, 942) = ( 351 x 942 ) / 110214
GCD(351, 942) = 330642 / 110214
GCD(351, 942) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 742) = 2226
GCD(3, 742) = ( 3 x 742 ) / 2226
GCD(3, 742) = 2226 / 2226
GCD(3, 742) = 1
GCD of 351, 942, 742 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 351, 942, 742?
GCD of 351, 942, 742 is 1
2. Where do I get the detailed procedure to find GCD of 351, 942, 742?
You can find a detailed procedure to find GCD of 351, 942, 742 on our page.
3. How to find GCD of 351, 942, 742 on a calculator?
You can find the GCD of 351, 942, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.