GCD of 135, 551, 870, 664 Calculator

Given Input numbers are 135, 551, 870, 664

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 135, 551, 870, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 551, 870, 664 is 1.

Therefore, GCD of numbers 135, 551, 870, 664 is 1

Given Input Data is 135, 551, 870, 664

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

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 551 is 19 x 29

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(135, 551) = 74385

GCD(135, 551) = ( 135 x 551 ) / 74385

GCD(135, 551) = 74385 / 74385

GCD(135, 551) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 135, 551, 870, 664 is 1

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1. What is the GCD of 135, 551, 870, 664?

GCD of 135, 551, 870, 664 is 1

2. Where do I get the detailed procedure to find GCD of 135, 551, 870, 664?

You can find a detailed procedure to find GCD of 135, 551, 870, 664 on our page.

3. How to find GCD of 135, 551, 870, 664 on a calculator?

You can find the GCD of 135, 551, 870, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.