GCD of 763, 700, 91, 399 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 763, 700, 91, 399 i.e. 7 largest integer that divides all the numbers equally.

GCD of 763, 700, 91, 399 is 7

GCD(763, 700, 91, 399) = 7

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

GCD of

GCD of numbers 763, 700, 91, 399 is 7

GCD(763, 700, 91, 399) = 7

GCD of 763,700,91,399 Calculator

GCDof 763,700,91,399 is 7

Given Input numbers are 763, 700, 91, 399

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

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 763, 700, 91, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 700, 91, 399 is 7.

Therefore, GCD of numbers 763, 700, 91, 399 is 7

Finding GCD of 763, 700, 91, 399 using Prime Factorization

Given Input Data is 763, 700, 91, 399

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

Prime Factorization of 763 is 7 x 109

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 91 is 7 x 13

Prime Factorization of 399 is 3 x 7 x 19

Highest common occurrences in the given inputs are 71

Multiplying them we get the GCD as 7

Finding GCD of 763, 700, 91, 399 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(763, 700) = 76300

GCD(763, 700) = ( 763 x 700 ) / 76300

GCD(763, 700) = 534100 / 76300

GCD(763, 700) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 91

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

LCM(7, 91) = 91

GCD(7, 91) = ( 7 x 91 ) / 91

GCD(7, 91) = 637 / 91

GCD(7, 91) = 7


Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 399

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

LCM(7, 399) = 399

GCD(7, 399) = ( 7 x 399 ) / 399

GCD(7, 399) = 2793 / 399

GCD(7, 399) = 7

GCD of 763, 700, 91, 399 is 7

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 763, 700, 91, 399

1. What is the GCD of 763, 700, 91, 399?

GCD of 763, 700, 91, 399 is 7


2. Where do I get the detailed procedure to find GCD of 763, 700, 91, 399?

You can find a detailed procedure to find GCD of 763, 700, 91, 399 on our page.


3. How to find GCD of 763, 700, 91, 399 on a calculator?

You can find the GCD of 763, 700, 91, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.