GCD of 301, 658, 76, 157 Calculator

Given Input numbers are 301, 658, 76, 157

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 157

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

1, 157

Greatest Common Divisior

We found the divisors of 301, 658, 76, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 658, 76, 157 is 1.

Therefore, GCD of numbers 301, 658, 76, 157 is 1

Given Input Data is 301, 658, 76, 157

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 157 is 157

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(301, 658) = 28294

GCD(301, 658) = ( 301 x 658 ) / 28294

GCD(301, 658) = 198058 / 28294

GCD(301, 658) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 76

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

LCM(7, 76) = 532

GCD(7, 76) = ( 7 x 76 ) / 532

GCD(7, 76) = 532 / 532

GCD(7, 76) = 1

Step3:

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

GCD of 301, 658, 76, 157 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 963, 362, 20, 591
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• GCD of 275, 115, 82, 721

1. What is the GCD of 301, 658, 76, 157?

GCD of 301, 658, 76, 157 is 1

2. Where do I get the detailed procedure to find GCD of 301, 658, 76, 157?

You can find a detailed procedure to find GCD of 301, 658, 76, 157 on our page.

3. How to find GCD of 301, 658, 76, 157 on a calculator?

You can find the GCD of 301, 658, 76, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.