GCD of 767, 664, 986, 380 Calculator

Given Input numbers are 767, 664, 986, 380

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

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

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 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 767, 664, 986, 380 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 664, 986, 380 is 1.

Therefore, GCD of numbers 767, 664, 986, 380 is 1

Given Input Data is 767, 664, 986, 380

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 986 is 2 x 17 x 29

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(767, 664) = 509288

GCD(767, 664) = ( 767 x 664 ) / 509288

GCD(767, 664) = 509288 / 509288

GCD(767, 664) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 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 767, 664, 986, 380 is 1

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1. What is the GCD of 767, 664, 986, 380?

GCD of 767, 664, 986, 380 is 1

2. Where do I get the detailed procedure to find GCD of 767, 664, 986, 380?

You can find a detailed procedure to find GCD of 767, 664, 986, 380 on our page.

3. How to find GCD of 767, 664, 986, 380 on a calculator?

You can find the GCD of 767, 664, 986, 380 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.