GCD of 484, 274, 975, 654 Calculator

Given Input numbers are 484, 274, 975, 654

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

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 484, 274, 975, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 274, 975, 654 is 1.

Therefore, GCD of numbers 484, 274, 975, 654 is 1

Given Input Data is 484, 274, 975, 654

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

Prime Factorization of 484 is 2 x 2 x 11 x 11

Prime Factorization of 274 is 2 x 137

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 654 is 2 x 3 x 109

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(484, 274) = 66308

GCD(484, 274) = ( 484 x 274 ) / 66308

GCD(484, 274) = 132616 / 66308

GCD(484, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 975

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

LCM(2, 975) = 1950

GCD(2, 975) = ( 2 x 975 ) / 1950

GCD(2, 975) = 1950 / 1950

GCD(2, 975) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 484, 274, 975, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 649, 125, 775
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• GCD of 737, 477, 958, 617
• GCD of 423, 604, 163, 134

1. What is the GCD of 484, 274, 975, 654?

GCD of 484, 274, 975, 654 is 1

2. Where do I get the detailed procedure to find GCD of 484, 274, 975, 654?

You can find a detailed procedure to find GCD of 484, 274, 975, 654 on our page.

3. How to find GCD of 484, 274, 975, 654 on a calculator?

You can find the GCD of 484, 274, 975, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.