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 292, 476, 80, 340 i.e. 4 largest integer that divides all the numbers equally.
GCD of 292, 476, 80, 340 is 4
GCD(292, 476, 80, 340) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 292, 476, 80, 340 is 4
GCD(292, 476, 80, 340) = 4
Given Input numbers are 292, 476, 80, 340
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Greatest Common Divisior
We found the divisors of 292, 476, 80, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 292, 476, 80, 340 is 4.
Therefore, GCD of numbers 292, 476, 80, 340 is 4
Given Input Data is 292, 476, 80, 340
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 340 is 2 x 2 x 5 x 17
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(292, 476) = 34748
GCD(292, 476) = ( 292 x 476 ) / 34748
GCD(292, 476) = 138992 / 34748
GCD(292, 476) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 80) = 80
GCD(4, 80) = ( 4 x 80 ) / 80
GCD(4, 80) = 320 / 80
GCD(4, 80) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 340) = 340
GCD(4, 340) = ( 4 x 340 ) / 340
GCD(4, 340) = 1360 / 340
GCD(4, 340) = 4
GCD of 292, 476, 80, 340 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 292, 476, 80, 340?
GCD of 292, 476, 80, 340 is 4
2. Where do I get the detailed procedure to find GCD of 292, 476, 80, 340?
You can find a detailed procedure to find GCD of 292, 476, 80, 340 on our page.
3. How to find GCD of 292, 476, 80, 340 on a calculator?
You can find the GCD of 292, 476, 80, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.