GCD of 149, 120, 156, 615 Calculator

Given Input numbers are 149, 120, 156, 615

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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 149, 120, 156, 615 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 120, 156, 615 is 1.

Therefore, GCD of numbers 149, 120, 156, 615 is 1

Given Input Data is 149, 120, 156, 615

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

Prime Factorization of 149 is 149

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 156 is 2 x 2 x 3 x 13

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(149, 120) = 17880

GCD(149, 120) = ( 149 x 120 ) / 17880

GCD(149, 120) = 17880 / 17880

GCD(149, 120) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 156

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

LCM(1, 156) = 156

GCD(1, 156) = ( 1 x 156 ) / 156

GCD(1, 156) = 156 / 156

GCD(1, 156) = 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 149, 120, 156, 615 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 171, 304, 241
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• GCD of 475, 952, 324, 495

1. What is the GCD of 149, 120, 156, 615?

GCD of 149, 120, 156, 615 is 1

2. Where do I get the detailed procedure to find GCD of 149, 120, 156, 615?

You can find a detailed procedure to find GCD of 149, 120, 156, 615 on our page.

3. How to find GCD of 149, 120, 156, 615 on a calculator?

You can find the GCD of 149, 120, 156, 615 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.