GCD of 376, 107, 643, 260 Calculator

Given Input numbers are 376, 107, 643, 260

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 376, 107, 643, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 107, 643, 260 is 1.

Therefore, GCD of numbers 376, 107, 643, 260 is 1

Given Input Data is 376, 107, 643, 260

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 107 is 107

Prime Factorization of 643 is 643

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(376, 107) = 40232

GCD(376, 107) = ( 376 x 107 ) / 40232

GCD(376, 107) = 40232 / 40232

GCD(376, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 376, 107, 643, 260 is 1

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1. What is the GCD of 376, 107, 643, 260?

GCD of 376, 107, 643, 260 is 1

2. Where do I get the detailed procedure to find GCD of 376, 107, 643, 260?

You can find a detailed procedure to find GCD of 376, 107, 643, 260 on our page.

3. How to find GCD of 376, 107, 643, 260 on a calculator?

You can find the GCD of 376, 107, 643, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.