GCD of 654, 544, 507, 870 Calculator

Given Input numbers are 654, 544, 507, 870

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

Divisors of 654

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

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

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

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

Greatest Common Divisior

We found the divisors of 654, 544, 507, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 544, 507, 870 is 1.

Therefore, GCD of numbers 654, 544, 507, 870 is 1

Given Input Data is 654, 544, 507, 870

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 507 is 3 x 13 x 13

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

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(654, 544) = 177888

GCD(654, 544) = ( 654 x 544 ) / 177888

GCD(654, 544) = 355776 / 177888

GCD(654, 544) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 507

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

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

GCD(2, 507) = 1014 / 1014

GCD(2, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 654, 544, 507, 870 is 1

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1. What is the GCD of 654, 544, 507, 870?

GCD of 654, 544, 507, 870 is 1

2. Where do I get the detailed procedure to find GCD of 654, 544, 507, 870?

You can find a detailed procedure to find GCD of 654, 544, 507, 870 on our page.

3. How to find GCD of 654, 544, 507, 870 on a calculator?

You can find the GCD of 654, 544, 507, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.