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 426, 413, 42, 157 i.e. 1 largest integer that divides all the numbers equally.
GCD of 426, 413, 42, 157 is 1
GCD(426, 413, 42, 157) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 426, 413, 42, 157 is 1
GCD(426, 413, 42, 157) = 1
Given Input numbers are 426, 413, 42, 157
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Greatest Common Divisior
We found the divisors of 426, 413, 42, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 413, 42, 157 is 1.
Therefore, GCD of numbers 426, 413, 42, 157 is 1
Given Input Data is 426, 413, 42, 157
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 413 is 7 x 59
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 157 is 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(426, 413) = 175938
GCD(426, 413) = ( 426 x 413 ) / 175938
GCD(426, 413) = 175938 / 175938
GCD(426, 413) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 157) = 157
GCD(1, 157) = ( 1 x 157 ) / 157
GCD(1, 157) = 157 / 157
GCD(1, 157) = 1
GCD of 426, 413, 42, 157 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 426, 413, 42, 157?
GCD of 426, 413, 42, 157 is 1
2. Where do I get the detailed procedure to find GCD of 426, 413, 42, 157?
You can find a detailed procedure to find GCD of 426, 413, 42, 157 on our page.
3. How to find GCD of 426, 413, 42, 157 on a calculator?
You can find the GCD of 426, 413, 42, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.