GCD of 274, 452, 80, 959 Calculator

Given Input numbers are 274, 452, 80, 959

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

Divisors of 274

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

1, 2, 137, 274

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 274, 452, 80, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 452, 80, 959 is 1.

Therefore, GCD of numbers 274, 452, 80, 959 is 1

Given Input Data is 274, 452, 80, 959

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 959 is 7 x 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(274, 452) = 61924

GCD(274, 452) = ( 274 x 452 ) / 61924

GCD(274, 452) = 123848 / 61924

GCD(274, 452) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 959

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

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

GCD(2, 959) = 1918 / 1918

GCD(2, 959) = 1

GCD of 274, 452, 80, 959 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 126, 19, 780
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• GCD of 757, 150, 36, 961
• GCD of 692, 624, 67, 458
• GCD of 765, 695, 18, 826

1. What is the GCD of 274, 452, 80, 959?

GCD of 274, 452, 80, 959 is 1

2. Where do I get the detailed procedure to find GCD of 274, 452, 80, 959?

You can find a detailed procedure to find GCD of 274, 452, 80, 959 on our page.

3. How to find GCD of 274, 452, 80, 959 on a calculator?

You can find the GCD of 274, 452, 80, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.