GCD of 604, 151, 35, 748 Calculator

Given Input numbers are 604, 151, 35, 748

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

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 151

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

1, 151

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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 604, 151, 35, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 151, 35, 748 is 1.

Therefore, GCD of numbers 604, 151, 35, 748 is 1

Given Input Data is 604, 151, 35, 748

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

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 151 is 151

Prime Factorization of 35 is 5 x 7

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(604, 151) = 604

GCD(604, 151) = ( 604 x 151 ) / 604

GCD(604, 151) = 91204 / 604

GCD(604, 151) = 151

Step2:

Here we consider the GCD from the above i.e. 151 as first number and the next as 35

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

LCM(151, 35) = 5285

GCD(151, 35) = ( 151 x 35 ) / 5285

GCD(151, 35) = 5285 / 5285

GCD(151, 35) = 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 604, 151, 35, 748 is 1

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1. What is the GCD of 604, 151, 35, 748?

GCD of 604, 151, 35, 748 is 1

2. Where do I get the detailed procedure to find GCD of 604, 151, 35, 748?

You can find a detailed procedure to find GCD of 604, 151, 35, 748 on our page.

3. How to find GCD of 604, 151, 35, 748 on a calculator?

You can find the GCD of 604, 151, 35, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.