GCD of 748, 422, 70, 158 Calculator

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

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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.