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 80, 347, 846, 600 i.e. 1 largest integer that divides all the numbers equally.
GCD of 80, 347, 846, 600 is 1
GCD(80, 347, 846, 600) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 80, 347, 846, 600 is 1
GCD(80, 347, 846, 600) = 1
Given Input numbers are 80, 347, 846, 600
To find the GCD of numbers using factoring list out all the divisors of each number
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 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Greatest Common Divisior
We found the divisors of 80, 347, 846, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 347, 846, 600 is 1.
Therefore, GCD of numbers 80, 347, 846, 600 is 1
Given Input Data is 80, 347, 846, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 347 is 347
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
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(80, 347) = 27760
GCD(80, 347) = ( 80 x 347 ) / 27760
GCD(80, 347) = 27760 / 27760
GCD(80, 347) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 600) = 600
GCD(1, 600) = ( 1 x 600 ) / 600
GCD(1, 600) = 600 / 600
GCD(1, 600) = 1
GCD of 80, 347, 846, 600 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 80, 347, 846, 600?
GCD of 80, 347, 846, 600 is 1
2. Where do I get the detailed procedure to find GCD of 80, 347, 846, 600?
You can find a detailed procedure to find GCD of 80, 347, 846, 600 on our page.
3. How to find GCD of 80, 347, 846, 600 on a calculator?
You can find the GCD of 80, 347, 846, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.