GCD of 274, 150, 931, 827 Calculator

Given Input numbers are 274, 150, 931, 827

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 274, 150, 931, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 150, 931, 827 is 1.

Therefore, GCD of numbers 274, 150, 931, 827 is 1

Given Input Data is 274, 150, 931, 827

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 827 is 827

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, 150) = 20550

GCD(274, 150) = ( 274 x 150 ) / 20550

GCD(274, 150) = 41100 / 20550

GCD(274, 150) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 931

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

LCM(2, 931) = 1862

GCD(2, 931) = ( 2 x 931 ) / 1862

GCD(2, 931) = 1862 / 1862

GCD(2, 931) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 274, 150, 931, 827 is 1

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1. What is the GCD of 274, 150, 931, 827?

GCD of 274, 150, 931, 827 is 1

2. Where do I get the detailed procedure to find GCD of 274, 150, 931, 827?

You can find a detailed procedure to find GCD of 274, 150, 931, 827 on our page.

3. How to find GCD of 274, 150, 931, 827 on a calculator?

You can find the GCD of 274, 150, 931, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.