GCD of 309, 741, 215, 157 Calculator

Given Input numbers are 309, 741, 215, 157

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 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

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 309, 741, 215, 157 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 741, 215, 157 is 1.

Therefore, GCD of numbers 309, 741, 215, 157 is 1

Given Input Data is 309, 741, 215, 157

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 215 is 5 x 43

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(309, 741) = 76323

GCD(309, 741) = ( 309 x 741 ) / 76323

GCD(309, 741) = 228969 / 76323

GCD(309, 741) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 215

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

LCM(3, 215) = 645

GCD(3, 215) = ( 3 x 215 ) / 645

GCD(3, 215) = 645 / 645

GCD(3, 215) = 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 309, 741, 215, 157 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 403, 761, 253
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1. What is the GCD of 309, 741, 215, 157?

GCD of 309, 741, 215, 157 is 1

2. Where do I get the detailed procedure to find GCD of 309, 741, 215, 157?

You can find a detailed procedure to find GCD of 309, 741, 215, 157 on our page.

3. How to find GCD of 309, 741, 215, 157 on a calculator?

You can find the GCD of 309, 741, 215, 157 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.