GCD of 336, 931, 763 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 336, 931, 763 i.e. 7 largest integer that divides all the numbers equally.
GCD of 336, 931, 763 is 7
GCD(336, 931, 763) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 931, 763 is 7
GCD(336, 931, 763) = 7
GCDof 336,931,763 is 7
Given Input numbers are 336, 931, 763
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Greatest Common Divisior
We found the divisors of 336, 931, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 931, 763 is 7.
Therefore, GCD of numbers 336, 931, 763 is 7
Given Input Data is 336, 931, 763
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 763 is 7 x 109
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 336, 931, 763 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(336, 931) = 44688
GCD(336, 931) = ( 336 x 931 ) / 44688
GCD(336, 931) = 312816 / 44688
GCD(336, 931) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 763
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 763) = 763
GCD(7, 763) = ( 7 x 763 ) / 763
GCD(7, 763) = 5341 / 763
GCD(7, 763) = 7
GCD of 336, 931, 763 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 336, 931, 763
1. What is the GCD of 336, 931, 763?
GCD of 336, 931, 763 is 7
2. Where do I get the detailed procedure to find GCD of 336, 931, 763?
You can find a detailed procedure to find GCD of 336, 931, 763 on our page.
3. How to find GCD of 336, 931, 763 on a calculator?
You can find the GCD of 336, 931, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
