GCD of 309, 412, 154, 615 Calculator

Given Input numbers are 309, 412, 154, 615

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 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

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 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Greatest Common Divisior

We found the divisors of 309, 412, 154, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 412, 154, 615 is 1.

Therefore, GCD of numbers 309, 412, 154, 615 is 1

Given Input Data is 309, 412, 154, 615

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 615 is 3 x 5 x 41

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, 412) = 1236

GCD(309, 412) = ( 309 x 412 ) / 1236

GCD(309, 412) = 127308 / 1236

GCD(309, 412) = 103

Step2:

Here we consider the GCD from the above i.e. 103 as first number and the next as 154

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

LCM(103, 154) = 15862

GCD(103, 154) = ( 103 x 154 ) / 15862

GCD(103, 154) = 15862 / 15862

GCD(103, 154) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 615

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

LCM(1, 615) = 615

GCD(1, 615) = ( 1 x 615 ) / 615

GCD(1, 615) = 615 / 615

GCD(1, 615) = 1

GCD of 309, 412, 154, 615 is 1

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1. What is the GCD of 309, 412, 154, 615?

GCD of 309, 412, 154, 615 is 1

2. Where do I get the detailed procedure to find GCD of 309, 412, 154, 615?

You can find a detailed procedure to find GCD of 309, 412, 154, 615 on our page.

3. How to find GCD of 309, 412, 154, 615 on a calculator?

You can find the GCD of 309, 412, 154, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.