GCD of 280, 303, 274, 137 Calculator

Given Input numbers are 280, 303, 274, 137

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

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 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

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 280, 303, 274, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 303, 274, 137 is 1.

Therefore, GCD of numbers 280, 303, 274, 137 is 1

Given Input Data is 280, 303, 274, 137

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

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 274 is 2 x 137

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(280, 303) = 84840

GCD(280, 303) = ( 280 x 303 ) / 84840

GCD(280, 303) = 84840 / 84840

GCD(280, 303) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 280, 303, 274, 137 is 1

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1. What is the GCD of 280, 303, 274, 137?

GCD of 280, 303, 274, 137 is 1

2. Where do I get the detailed procedure to find GCD of 280, 303, 274, 137?

You can find a detailed procedure to find GCD of 280, 303, 274, 137 on our page.

3. How to find GCD of 280, 303, 274, 137 on a calculator?

You can find the GCD of 280, 303, 274, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.