GCD of 254, 369, 111, 964 Calculator

Given Input numbers are 254, 369, 111, 964

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 254, 369, 111, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 369, 111, 964 is 1.

Therefore, GCD of numbers 254, 369, 111, 964 is 1

Given Input Data is 254, 369, 111, 964

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 111 is 3 x 37

Prime Factorization of 964 is 2 x 2 x 241

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(254, 369) = 93726

GCD(254, 369) = ( 254 x 369 ) / 93726

GCD(254, 369) = 93726 / 93726

GCD(254, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 254, 369, 111, 964 is 1

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1. What is the GCD of 254, 369, 111, 964?

GCD of 254, 369, 111, 964 is 1

2. Where do I get the detailed procedure to find GCD of 254, 369, 111, 964?

You can find a detailed procedure to find GCD of 254, 369, 111, 964 on our page.

3. How to find GCD of 254, 369, 111, 964 on a calculator?

You can find the GCD of 254, 369, 111, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.