GCD of 659, 655, 618, 117 Calculator

Given Input numbers are 659, 655, 618, 117

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

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 659, 655, 618, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 655, 618, 117 is 1.

Therefore, GCD of numbers 659, 655, 618, 117 is 1

Given Input Data is 659, 655, 618, 117

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

Prime Factorization of 659 is 659

Prime Factorization of 655 is 5 x 131

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 117 is 3 x 3 x 13

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(659, 655) = 431645

GCD(659, 655) = ( 659 x 655 ) / 431645

GCD(659, 655) = 431645 / 431645

GCD(659, 655) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 659, 655, 618, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 443, 611, 719
• GCD of 280, 728, 281, 155
• GCD of 446, 151, 595, 696
• GCD of 637, 485, 518, 577
• GCD of 202, 116, 693, 895

1. What is the GCD of 659, 655, 618, 117?

GCD of 659, 655, 618, 117 is 1

2. Where do I get the detailed procedure to find GCD of 659, 655, 618, 117?

You can find a detailed procedure to find GCD of 659, 655, 618, 117 on our page.

3. How to find GCD of 659, 655, 618, 117 on a calculator?

You can find the GCD of 659, 655, 618, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.