GCD of 274, 991, 548, 715 Calculator

Given Input numbers are 274, 991, 548, 715

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 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 274, 991, 548, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 991, 548, 715 is 1.

Therefore, GCD of numbers 274, 991, 548, 715 is 1

Given Input Data is 274, 991, 548, 715

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 991 is 991

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 715 is 5 x 11 x 13

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, 991) = 271534

GCD(274, 991) = ( 274 x 991 ) / 271534

GCD(274, 991) = 271534 / 271534

GCD(274, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

GCD of 274, 991, 548, 715 is 1

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1. What is the GCD of 274, 991, 548, 715?

GCD of 274, 991, 548, 715 is 1

2. Where do I get the detailed procedure to find GCD of 274, 991, 548, 715?

You can find a detailed procedure to find GCD of 274, 991, 548, 715 on our page.

3. How to find GCD of 274, 991, 548, 715 on a calculator?

You can find the GCD of 274, 991, 548, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.