GCD of 954, 297, 83, 674 Calculator

Given Input numbers are 954, 297, 83, 674

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 954, 297, 83, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 297, 83, 674 is 1.

Therefore, GCD of numbers 954, 297, 83, 674 is 1

Given Input Data is 954, 297, 83, 674

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 83 is 83

Prime Factorization of 674 is 2 x 337

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(954, 297) = 31482

GCD(954, 297) = ( 954 x 297 ) / 31482

GCD(954, 297) = 283338 / 31482

GCD(954, 297) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 83

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

LCM(9, 83) = 747

GCD(9, 83) = ( 9 x 83 ) / 747

GCD(9, 83) = 747 / 747

GCD(9, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 954, 297, 83, 674 is 1

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1. What is the GCD of 954, 297, 83, 674?

GCD of 954, 297, 83, 674 is 1

2. Where do I get the detailed procedure to find GCD of 954, 297, 83, 674?

You can find a detailed procedure to find GCD of 954, 297, 83, 674 on our page.

3. How to find GCD of 954, 297, 83, 674 on a calculator?

You can find the GCD of 954, 297, 83, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.