GCD of 767, 701, 71, 164 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 767, 701, 71, 164 i.e. 1 largest integer that divides all the numbers equally.

GCD of 767, 701, 71, 164 is 1

GCD(767, 701, 71, 164) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 767, 701, 71, 164 is 1

GCD(767, 701, 71, 164) = 1

GCD of 767,701,71,164 Calculator

GCDof 767,701,71,164 is 1

Given Input numbers are 767, 701, 71, 164

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 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 767, 701, 71, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 767, 701, 71, 164 is 1.

Therefore, GCD of numbers 767, 701, 71, 164 is 1

Finding GCD of 767, 701, 71, 164 using Prime Factorization

Given Input Data is 767, 701, 71, 164

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

Prime Factorization of 767 is 13 x 59

Prime Factorization of 701 is 701

Prime Factorization of 71 is 71

Prime Factorization of 164 is 2 x 2 x 41

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 767, 701, 71, 164 using LCM Formula

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, 701) = 537667

GCD(767, 701) = ( 767 x 701 ) / 537667

GCD(767, 701) = 537667 / 537667

GCD(767, 701) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 767, 701, 71, 164 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 767, 701, 71, 164

1. What is the GCD of 767, 701, 71, 164?

GCD of 767, 701, 71, 164 is 1


2. Where do I get the detailed procedure to find GCD of 767, 701, 71, 164?

You can find a detailed procedure to find GCD of 767, 701, 71, 164 on our page.


3. How to find GCD of 767, 701, 71, 164 on a calculator?

You can find the GCD of 767, 701, 71, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.