GCD of 959, 413, 91 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 959, 413, 91 i.e. 7 largest integer that divides all the numbers equally.
GCD of 959, 413, 91 is 7
GCD(959, 413, 91) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 959, 413, 91 is 7
GCD(959, 413, 91) = 7
GCDof 959,413,91 is 7
Given Input numbers are 959, 413, 91
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Greatest Common Divisior
We found the divisors of 959, 413, 91 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 959, 413, 91 is 7.
Therefore, GCD of numbers 959, 413, 91 is 7
Given Input Data is 959, 413, 91
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 959 is 7 x 137
Prime Factorization of 413 is 7 x 59
Prime Factorization of 91 is 7 x 13
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 959, 413, 91 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(959, 413) = 56581
GCD(959, 413) = ( 959 x 413 ) / 56581
GCD(959, 413) = 396067 / 56581
GCD(959, 413) = 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
GCD of 959, 413, 91 is 7
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FAQs on GCD of numbers 959, 413, 91
1. What is the GCD of 959, 413, 91?
GCD of 959, 413, 91 is 7
2. Where do I get the detailed procedure to find GCD of 959, 413, 91?
You can find a detailed procedure to find GCD of 959, 413, 91 on our page.
3. How to find GCD of 959, 413, 91 on a calculator?
You can find the GCD of 959, 413, 91 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
