GCD of 109, 608, 87, 955 Calculator

Given Input numbers are 109, 608, 87, 955

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 109, 608, 87, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 608, 87, 955 is 1.

Therefore, GCD of numbers 109, 608, 87, 955 is 1

Given Input Data is 109, 608, 87, 955

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

Prime Factorization of 109 is 109

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 87 is 3 x 29

Prime Factorization of 955 is 5 x 191

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(109, 608) = 66272

GCD(109, 608) = ( 109 x 608 ) / 66272

GCD(109, 608) = 66272 / 66272

GCD(109, 608) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 955

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

LCM(1, 955) = 955

GCD(1, 955) = ( 1 x 955 ) / 955

GCD(1, 955) = 955 / 955

GCD(1, 955) = 1

GCD of 109, 608, 87, 955 is 1

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• GCD of 494, 319, 29, 996
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1. What is the GCD of 109, 608, 87, 955?

GCD of 109, 608, 87, 955 is 1

2. Where do I get the detailed procedure to find GCD of 109, 608, 87, 955?

You can find a detailed procedure to find GCD of 109, 608, 87, 955 on our page.

3. How to find GCD of 109, 608, 87, 955 on a calculator?

You can find the GCD of 109, 608, 87, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.