GCD of 954, 498, 649, 272 Calculator

Given Input numbers are 954, 498, 649, 272

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 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 954, 498, 649, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 498, 649, 272 is 1.

Therefore, GCD of numbers 954, 498, 649, 272 is 1

Given Input Data is 954, 498, 649, 272

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 498 is 2 x 3 x 83

Prime Factorization of 649 is 11 x 59

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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, 498) = 79182

GCD(954, 498) = ( 954 x 498 ) / 79182

GCD(954, 498) = 475092 / 79182

GCD(954, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 649

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

LCM(6, 649) = 3894

GCD(6, 649) = ( 6 x 649 ) / 3894

GCD(6, 649) = 3894 / 3894

GCD(6, 649) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 954, 498, 649, 272 is 1

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1. What is the GCD of 954, 498, 649, 272?

GCD of 954, 498, 649, 272 is 1

2. Where do I get the detailed procedure to find GCD of 954, 498, 649, 272?

You can find a detailed procedure to find GCD of 954, 498, 649, 272 on our page.

3. How to find GCD of 954, 498, 649, 272 on a calculator?

You can find the GCD of 954, 498, 649, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.