GCD of 868, 756, 413 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 868, 756, 413 i.e. 7 largest integer that divides all the numbers equally.
GCD of 868, 756, 413 is 7
GCD(868, 756, 413) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 868, 756, 413 is 7
GCD(868, 756, 413) = 7
GCDof 868,756,413 is 7
Given Input numbers are 868, 756, 413
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Greatest Common Divisior
We found the divisors of 868, 756, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 868, 756, 413 is 7.
Therefore, GCD of numbers 868, 756, 413 is 7
Given Input Data is 868, 756, 413
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 868 is 2 x 2 x 7 x 31
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 413 is 7 x 59
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 868, 756, 413 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(868, 756) = 23436
GCD(868, 756) = ( 868 x 756 ) / 23436
GCD(868, 756) = 656208 / 23436
GCD(868, 756) = 28
Step2:
Here we consider the GCD from the above i.e. 28 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(28, 413) = 1652
GCD(28, 413) = ( 28 x 413 ) / 1652
GCD(28, 413) = 11564 / 1652
GCD(28, 413) = 7
GCD of 868, 756, 413 is 7
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FAQs on GCD of numbers 868, 756, 413
1. What is the GCD of 868, 756, 413?
GCD of 868, 756, 413 is 7
2. Where do I get the detailed procedure to find GCD of 868, 756, 413?
You can find a detailed procedure to find GCD of 868, 756, 413 on our page.
3. How to find GCD of 868, 756, 413 on a calculator?
You can find the GCD of 868, 756, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.