GCD of 107, 498, 453, 708 Calculator

Given Input numbers are 107, 498, 453, 708

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

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 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 107, 498, 453, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 498, 453, 708 is 1.

Therefore, GCD of numbers 107, 498, 453, 708 is 1

Given Input Data is 107, 498, 453, 708

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

Prime Factorization of 107 is 107

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 453 is 3 x 151

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(107, 498) = 53286

GCD(107, 498) = ( 107 x 498 ) / 53286

GCD(107, 498) = 53286 / 53286

GCD(107, 498) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 453

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

LCM(1, 453) = 453

GCD(1, 453) = ( 1 x 453 ) / 453

GCD(1, 453) = 453 / 453

GCD(1, 453) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 107, 498, 453, 708 is 1

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1. What is the GCD of 107, 498, 453, 708?

GCD of 107, 498, 453, 708 is 1

2. Where do I get the detailed procedure to find GCD of 107, 498, 453, 708?

You can find a detailed procedure to find GCD of 107, 498, 453, 708 on our page.

3. How to find GCD of 107, 498, 453, 708 on a calculator?

You can find the GCD of 107, 498, 453, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.