GCD of 714, 275, 672, 484 Calculator

Given Input numbers are 714, 275, 672, 484

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

Greatest Common Divisior

We found the divisors of 714, 275, 672, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 275, 672, 484 is 1.

Therefore, GCD of numbers 714, 275, 672, 484 is 1

Given Input Data is 714, 275, 672, 484

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

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

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(714, 275) = 196350

GCD(714, 275) = ( 714 x 275 ) / 196350

GCD(714, 275) = 196350 / 196350

GCD(714, 275) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 672

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

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

GCD(1, 672) = 672 / 672

GCD(1, 672) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 714, 275, 672, 484 is 1

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1. What is the GCD of 714, 275, 672, 484?

GCD of 714, 275, 672, 484 is 1

2. Where do I get the detailed procedure to find GCD of 714, 275, 672, 484?

You can find a detailed procedure to find GCD of 714, 275, 672, 484 on our page.

3. How to find GCD of 714, 275, 672, 484 on a calculator?

You can find the GCD of 714, 275, 672, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.