GCD of 31, 376, 860, 380 Calculator

Given Input numbers are 31, 376, 860, 380

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Greatest Common Divisior

We found the divisors of 31, 376, 860, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 376, 860, 380 is 1.

Therefore, GCD of numbers 31, 376, 860, 380 is 1

Given Input Data is 31, 376, 860, 380

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

Prime Factorization of 31 is 31

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

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

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(31, 376) = 11656

GCD(31, 376) = ( 31 x 376 ) / 11656

GCD(31, 376) = 11656 / 11656

GCD(31, 376) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

GCD of 31, 376, 860, 380 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 686, 330, 573
• GCD of 30, 885, 571, 272
• GCD of 83, 190, 839, 635
• GCD of 23, 865, 251, 559
• GCD of 19, 490, 661, 539

1. What is the GCD of 31, 376, 860, 380?

GCD of 31, 376, 860, 380 is 1

2. Where do I get the detailed procedure to find GCD of 31, 376, 860, 380?

You can find a detailed procedure to find GCD of 31, 376, 860, 380 on our page.

3. How to find GCD of 31, 376, 860, 380 on a calculator?

You can find the GCD of 31, 376, 860, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.