GCD of 307, 986, 375, 860 Calculator

Given Input numbers are 307, 986, 375, 860

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Greatest Common Divisior

We found the divisors of 307, 986, 375, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 986, 375, 860 is 1.

Therefore, GCD of numbers 307, 986, 375, 860 is 1

Given Input Data is 307, 986, 375, 860

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

Prime Factorization of 307 is 307

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 860 is 2 x 2 x 5 x 43

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(307, 986) = 302702

GCD(307, 986) = ( 307 x 986 ) / 302702

GCD(307, 986) = 302702 / 302702

GCD(307, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

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

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

GCD of 307, 986, 375, 860 is 1

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1. What is the GCD of 307, 986, 375, 860?

GCD of 307, 986, 375, 860 is 1

2. Where do I get the detailed procedure to find GCD of 307, 986, 375, 860?

You can find a detailed procedure to find GCD of 307, 986, 375, 860 on our page.

3. How to find GCD of 307, 986, 375, 860 on a calculator?

You can find the GCD of 307, 986, 375, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.