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 748, 422, 70, 158 i.e. 2 largest integer that divides all the numbers equally.
GCD of 748, 422, 70, 158 is 2
GCD(748, 422, 70, 158) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 422, 70, 158 is 2
GCD(748, 422, 70, 158) = 2
Given Input numbers are 748, 422, 70, 158
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Greatest Common Divisior
We found the divisors of 748, 422, 70, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 422, 70, 158 is 2.
Therefore, GCD of numbers 748, 422, 70, 158 is 2
Given Input Data is 748, 422, 70, 158
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 422 is 2 x 211
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 158 is 2 x 79
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(748, 422) = 157828
GCD(748, 422) = ( 748 x 422 ) / 157828
GCD(748, 422) = 315656 / 157828
GCD(748, 422) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 70) = 70
GCD(2, 70) = ( 2 x 70 ) / 70
GCD(2, 70) = 140 / 70
GCD(2, 70) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 158) = 158
GCD(2, 158) = ( 2 x 158 ) / 158
GCD(2, 158) = 316 / 158
GCD(2, 158) = 2
GCD of 748, 422, 70, 158 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 422, 70, 158?
GCD of 748, 422, 70, 158 is 2
2. Where do I get the detailed procedure to find GCD of 748, 422, 70, 158?
You can find a detailed procedure to find GCD of 748, 422, 70, 158 on our page.
3. How to find GCD of 748, 422, 70, 158 on a calculator?
You can find the GCD of 748, 422, 70, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.