GCD of 974, 657, 267, 733 Calculator

Given Input numbers are 974, 657, 267, 733

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

Divisors of 974

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

1, 2, 487, 974

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 267

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

1, 3, 89, 267

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 974, 657, 267, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 657, 267, 733 is 1.

Therefore, GCD of numbers 974, 657, 267, 733 is 1

Given Input Data is 974, 657, 267, 733

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 267 is 3 x 89

Prime Factorization of 733 is 733

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(974, 657) = 639918

GCD(974, 657) = ( 974 x 657 ) / 639918

GCD(974, 657) = 639918 / 639918

GCD(974, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 267

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

LCM(1, 267) = 267

GCD(1, 267) = ( 1 x 267 ) / 267

GCD(1, 267) = 267 / 267

GCD(1, 267) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 733

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

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

GCD(1, 733) = 733 / 733

GCD(1, 733) = 1

GCD of 974, 657, 267, 733 is 1

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1. What is the GCD of 974, 657, 267, 733?

GCD of 974, 657, 267, 733 is 1

2. Where do I get the detailed procedure to find GCD of 974, 657, 267, 733?

You can find a detailed procedure to find GCD of 974, 657, 267, 733 on our page.

3. How to find GCD of 974, 657, 267, 733 on a calculator?

You can find the GCD of 974, 657, 267, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.