GCD of 274, 971, 714, 804 Calculator

Given Input numbers are 274, 971, 714, 804

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 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 274, 971, 714, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 971, 714, 804 is 1.

Therefore, GCD of numbers 274, 971, 714, 804 is 1

Given Input Data is 274, 971, 714, 804

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 971 is 971

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 804 is 2 x 2 x 3 x 67

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, 971) = 266054

GCD(274, 971) = ( 274 x 971 ) / 266054

GCD(274, 971) = 266054 / 266054

GCD(274, 971) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

GCD of 274, 971, 714, 804 is 1

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1. What is the GCD of 274, 971, 714, 804?

GCD of 274, 971, 714, 804 is 1

2. Where do I get the detailed procedure to find GCD of 274, 971, 714, 804?

You can find a detailed procedure to find GCD of 274, 971, 714, 804 on our page.

3. How to find GCD of 274, 971, 714, 804 on a calculator?

You can find the GCD of 274, 971, 714, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.