GCD of 61, 209, 117, 663 Calculator

Given Input numbers are 61, 209, 117, 663

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 117

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

1, 3, 9, 13, 39, 117

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 61, 209, 117, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 209, 117, 663 is 1.

Therefore, GCD of numbers 61, 209, 117, 663 is 1

Given Input Data is 61, 209, 117, 663

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

Prime Factorization of 61 is 61

Prime Factorization of 209 is 11 x 19

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 663 is 3 x 13 x 17

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(61, 209) = 12749

GCD(61, 209) = ( 61 x 209 ) / 12749

GCD(61, 209) = 12749 / 12749

GCD(61, 209) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 61, 209, 117, 663 is 1

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• GCD of 75, 309, 386, 195
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1. What is the GCD of 61, 209, 117, 663?

GCD of 61, 209, 117, 663 is 1

2. Where do I get the detailed procedure to find GCD of 61, 209, 117, 663?

You can find a detailed procedure to find GCD of 61, 209, 117, 663 on our page.

3. How to find GCD of 61, 209, 117, 663 on a calculator?

You can find the GCD of 61, 209, 117, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.