GCD of 267, 944, 716, 974 Calculator

Given Input numbers are 267, 944, 716, 974

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 267, 944, 716, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 944, 716, 974 is 1.

Therefore, GCD of numbers 267, 944, 716, 974 is 1

Given Input Data is 267, 944, 716, 974

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 974 is 2 x 487

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(267, 944) = 252048

GCD(267, 944) = ( 267 x 944 ) / 252048

GCD(267, 944) = 252048 / 252048

GCD(267, 944) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 267, 944, 716, 974 is 1

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1. What is the GCD of 267, 944, 716, 974?

GCD of 267, 944, 716, 974 is 1

2. Where do I get the detailed procedure to find GCD of 267, 944, 716, 974?

You can find a detailed procedure to find GCD of 267, 944, 716, 974 on our page.

3. How to find GCD of 267, 944, 716, 974 on a calculator?

You can find the GCD of 267, 944, 716, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.