GCD of 309, 154, 157, 748 Calculator

Given Input numbers are 309, 154, 157, 748

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

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 309, 154, 157, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 154, 157, 748 is 1.

Therefore, GCD of numbers 309, 154, 157, 748 is 1

Given Input Data is 309, 154, 157, 748

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 157 is 157

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(309, 154) = 47586

GCD(309, 154) = ( 309 x 154 ) / 47586

GCD(309, 154) = 47586 / 47586

GCD(309, 154) = 1

Step2:

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

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 309, 154, 157, 748 is 1

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1. What is the GCD of 309, 154, 157, 748?

GCD of 309, 154, 157, 748 is 1

2. Where do I get the detailed procedure to find GCD of 309, 154, 157, 748?

You can find a detailed procedure to find GCD of 309, 154, 157, 748 on our page.

3. How to find GCD of 309, 154, 157, 748 on a calculator?

You can find the GCD of 309, 154, 157, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.