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 numbers 763, 700, 91, 399 is 7
GCD(763, 700, 91, 399) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.