GCD of 118, 403, 669, 113 Calculator

Given Input numbers are 118, 403, 669, 113

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

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 118, 403, 669, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 118, 403, 669, 113 is 1.

Therefore, GCD of numbers 118, 403, 669, 113 is 1

Given Input Data is 118, 403, 669, 113

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

Prime Factorization of 118 is 2 x 59

Prime Factorization of 403 is 13 x 31

Prime Factorization of 669 is 3 x 223

Prime Factorization of 113 is 113

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(118, 403) = 47554

GCD(118, 403) = ( 118 x 403 ) / 47554

GCD(118, 403) = 47554 / 47554

GCD(118, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 118, 403, 669, 113 is 1

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1. What is the GCD of 118, 403, 669, 113?

GCD of 118, 403, 669, 113 is 1

2. Where do I get the detailed procedure to find GCD of 118, 403, 669, 113?

You can find a detailed procedure to find GCD of 118, 403, 669, 113 on our page.

3. How to find GCD of 118, 403, 669, 113 on a calculator?

You can find the GCD of 118, 403, 669, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.