GCD of 276, 280, 20, 137 Calculator

Given Input numbers are 276, 280, 20, 137

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

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 276, 280, 20, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 280, 20, 137 is 1.

Therefore, GCD of numbers 276, 280, 20, 137 is 1

Given Input Data is 276, 280, 20, 137

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

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 137 is 137

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(276, 280) = 19320

GCD(276, 280) = ( 276 x 280 ) / 19320

GCD(276, 280) = 77280 / 19320

GCD(276, 280) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 20

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

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

GCD(4, 20) = 80 / 20

GCD(4, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 137

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

LCM(4, 137) = 548

GCD(4, 137) = ( 4 x 137 ) / 548

GCD(4, 137) = 548 / 548

GCD(4, 137) = 1

GCD of 276, 280, 20, 137 is 1

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1. What is the GCD of 276, 280, 20, 137?

GCD of 276, 280, 20, 137 is 1

2. Where do I get the detailed procedure to find GCD of 276, 280, 20, 137?

You can find a detailed procedure to find GCD of 276, 280, 20, 137 on our page.

3. How to find GCD of 276, 280, 20, 137 on a calculator?

You can find the GCD of 276, 280, 20, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.