GCD of 336, 791, 119 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, 791, 119 i.e. 7 largest integer that divides all the numbers equally.
GCD of 336, 791, 119 is 7
GCD(336, 791, 119) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 791, 119 is 7
GCD(336, 791, 119) = 7
GCDof 336,791,119 is 7
Given Input numbers are 336, 791, 119
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 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Greatest Common Divisior
We found the divisors of 336, 791, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 791, 119 is 7.
Therefore, GCD of numbers 336, 791, 119 is 7
Given Input Data is 336, 791, 119
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 791 is 7 x 113
Prime Factorization of 119 is 7 x 17
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 336, 791, 119 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, 791) = 37968
GCD(336, 791) = ( 336 x 791 ) / 37968
GCD(336, 791) = 265776 / 37968
GCD(336, 791) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 119) = 119
GCD(7, 119) = ( 7 x 119 ) / 119
GCD(7, 119) = 833 / 119
GCD(7, 119) = 7
GCD of 336, 791, 119 is 7
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FAQs on GCD of numbers 336, 791, 119
1. What is the GCD of 336, 791, 119?
GCD of 336, 791, 119 is 7
2. Where do I get the detailed procedure to find GCD of 336, 791, 119?
You can find a detailed procedure to find GCD of 336, 791, 119 on our page.
3. How to find GCD of 336, 791, 119 on a calculator?
You can find the GCD of 336, 791, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.