GCD of 113, 654, 75, 869 Calculator

Given Input numbers are 113, 654, 75, 869

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

Divisors of 113

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

1, 113

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 113, 654, 75, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 654, 75, 869 is 1.

Therefore, GCD of numbers 113, 654, 75, 869 is 1

Given Input Data is 113, 654, 75, 869

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

Prime Factorization of 113 is 113

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 869 is 11 x 79

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(113, 654) = 73902

GCD(113, 654) = ( 113 x 654 ) / 73902

GCD(113, 654) = 73902 / 73902

GCD(113, 654) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 113, 654, 75, 869 is 1

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1. What is the GCD of 113, 654, 75, 869?

GCD of 113, 654, 75, 869 is 1

2. Where do I get the detailed procedure to find GCD of 113, 654, 75, 869?

You can find a detailed procedure to find GCD of 113, 654, 75, 869 on our page.

3. How to find GCD of 113, 654, 75, 869 on a calculator?

You can find the GCD of 113, 654, 75, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.