GCD of 579, 498, 870, 745 Calculator

Given Input numbers are 579, 498, 870, 745

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

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

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 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 579, 498, 870, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 579, 498, 870, 745 is 1.

Therefore, GCD of numbers 579, 498, 870, 745 is 1

Given Input Data is 579, 498, 870, 745

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

Prime Factorization of 579 is 3 x 193

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 745 is 5 x 149

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(579, 498) = 96114

GCD(579, 498) = ( 579 x 498 ) / 96114

GCD(579, 498) = 288342 / 96114

GCD(579, 498) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 870

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

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

GCD(3, 870) = 2610 / 870

GCD(3, 870) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 745

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

LCM(3, 745) = 2235

GCD(3, 745) = ( 3 x 745 ) / 2235

GCD(3, 745) = 2235 / 2235

GCD(3, 745) = 1

GCD of 579, 498, 870, 745 is 1

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1. What is the GCD of 579, 498, 870, 745?

GCD of 579, 498, 870, 745 is 1

2. Where do I get the detailed procedure to find GCD of 579, 498, 870, 745?

You can find a detailed procedure to find GCD of 579, 498, 870, 745 on our page.

3. How to find GCD of 579, 498, 870, 745 on a calculator?

You can find the GCD of 579, 498, 870, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.