GCD of 971, 200, 316, 294 Calculator

Given Input numbers are 971, 200, 316, 294

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

Divisors of 971

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

1, 971

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 971, 200, 316, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 200, 316, 294 is 1.

Therefore, GCD of numbers 971, 200, 316, 294 is 1

Given Input Data is 971, 200, 316, 294

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

Prime Factorization of 971 is 971

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(971, 200) = 194200

GCD(971, 200) = ( 971 x 200 ) / 194200

GCD(971, 200) = 194200 / 194200

GCD(971, 200) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 971, 200, 316, 294 is 1

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1. What is the GCD of 971, 200, 316, 294?

GCD of 971, 200, 316, 294 is 1

2. Where do I get the detailed procedure to find GCD of 971, 200, 316, 294?

You can find a detailed procedure to find GCD of 971, 200, 316, 294 on our page.

3. How to find GCD of 971, 200, 316, 294 on a calculator?

You can find the GCD of 971, 200, 316, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.