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 134, 410, 791, 942 i.e. 1 largest integer that divides all the numbers equally.
GCD of 134, 410, 791, 942 is 1
GCD(134, 410, 791, 942) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 134, 410, 791, 942 is 1
GCD(134, 410, 791, 942) = 1
Given Input numbers are 134, 410, 791, 942
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Greatest Common Divisior
We found the divisors of 134, 410, 791, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 410, 791, 942 is 1.
Therefore, GCD of numbers 134, 410, 791, 942 is 1
Given Input Data is 134, 410, 791, 942
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 134 is 2 x 67
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 791 is 7 x 113
Prime Factorization of 942 is 2 x 3 x 157
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(134, 410) = 27470
GCD(134, 410) = ( 134 x 410 ) / 27470
GCD(134, 410) = 54940 / 27470
GCD(134, 410) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 791) = 1582
GCD(2, 791) = ( 2 x 791 ) / 1582
GCD(2, 791) = 1582 / 1582
GCD(2, 791) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
GCD of 134, 410, 791, 942 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 134, 410, 791, 942?
GCD of 134, 410, 791, 942 is 1
2. Where do I get the detailed procedure to find GCD of 134, 410, 791, 942?
You can find a detailed procedure to find GCD of 134, 410, 791, 942 on our page.
3. How to find GCD of 134, 410, 791, 942 on a calculator?
You can find the GCD of 134, 410, 791, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.