GCD of 274, 867, 21, 758 Calculator

Given Input numbers are 274, 867, 21, 758

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 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 274, 867, 21, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 867, 21, 758 is 1.

Therefore, GCD of numbers 274, 867, 21, 758 is 1

Given Input Data is 274, 867, 21, 758

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 21 is 3 x 7

Prime Factorization of 758 is 2 x 379

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, 867) = 237558

GCD(274, 867) = ( 274 x 867 ) / 237558

GCD(274, 867) = 237558 / 237558

GCD(274, 867) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 274, 867, 21, 758 is 1

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• GCD of 925, 734, 87, 520
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1. What is the GCD of 274, 867, 21, 758?

GCD of 274, 867, 21, 758 is 1

2. Where do I get the detailed procedure to find GCD of 274, 867, 21, 758?

You can find a detailed procedure to find GCD of 274, 867, 21, 758 on our page.

3. How to find GCD of 274, 867, 21, 758 on a calculator?

You can find the GCD of 274, 867, 21, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.