GCD of 318, 151, 134, 748 Calculator

Given Input numbers are 318, 151, 134, 748

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

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

Greatest Common Divisior

We found the divisors of 318, 151, 134, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 151, 134, 748 is 1.

Therefore, GCD of numbers 318, 151, 134, 748 is 1

Given Input Data is 318, 151, 134, 748

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 151 is 151

Prime Factorization of 134 is 2 x 67

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(318, 151) = 48018

GCD(318, 151) = ( 318 x 151 ) / 48018

GCD(318, 151) = 48018 / 48018

GCD(318, 151) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 134

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 134) = 134

GCD(1, 134) = ( 1 x 134 ) / 134

GCD(1, 134) = 134 / 134

GCD(1, 134) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 318, 151, 134, 748 is 1

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1. What is the GCD of 318, 151, 134, 748?

GCD of 318, 151, 134, 748 is 1

2. Where do I get the detailed procedure to find GCD of 318, 151, 134, 748?

You can find a detailed procedure to find GCD of 318, 151, 134, 748 on our page.

3. How to find GCD of 318, 151, 134, 748 on a calculator?

You can find the GCD of 318, 151, 134, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.