GCD of 767, 319, 374, 165 Calculator

Given Input numbers are 767, 319, 374, 165

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Greatest Common Divisior

We found the divisors of 767, 319, 374, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 319, 374, 165 is 1.

Therefore, GCD of numbers 767, 319, 374, 165 is 1

Given Input Data is 767, 319, 374, 165

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 319 is 11 x 29

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 165 is 3 x 5 x 11

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, 319) = 244673

GCD(767, 319) = ( 767 x 319 ) / 244673

GCD(767, 319) = 244673 / 244673

GCD(767, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 374

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

LCM(1, 374) = 374

GCD(1, 374) = ( 1 x 374 ) / 374

GCD(1, 374) = 374 / 374

GCD(1, 374) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

GCD of 767, 319, 374, 165 is 1

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1. What is the GCD of 767, 319, 374, 165?

GCD of 767, 319, 374, 165 is 1

2. Where do I get the detailed procedure to find GCD of 767, 319, 374, 165?

You can find a detailed procedure to find GCD of 767, 319, 374, 165 on our page.

3. How to find GCD of 767, 319, 374, 165 on a calculator?

You can find the GCD of 767, 319, 374, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.