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 848, 800, 29, 600 i.e. 1 largest integer that divides all the numbers equally.
GCD of 848, 800, 29, 600 is 1
GCD(848, 800, 29, 600) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 800, 29, 600 is 1
GCD(848, 800, 29, 600) = 1
Given Input numbers are 848, 800, 29, 600
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
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 848, 800, 29, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 800, 29, 600 is 1.
Therefore, GCD of numbers 848, 800, 29, 600 is 1
Given Input Data is 848, 800, 29, 600
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 29 is 29
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(848, 800) = 42400
GCD(848, 800) = ( 848 x 800 ) / 42400
GCD(848, 800) = 678400 / 42400
GCD(848, 800) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 29) = 464
GCD(16, 29) = ( 16 x 29 ) / 464
GCD(16, 29) = 464 / 464
GCD(16, 29) = 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 848, 800, 29, 600 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 800, 29, 600?
GCD of 848, 800, 29, 600 is 1
2. Where do I get the detailed procedure to find GCD of 848, 800, 29, 600?
You can find a detailed procedure to find GCD of 848, 800, 29, 600 on our page.
3. How to find GCD of 848, 800, 29, 600 on a calculator?
You can find the GCD of 848, 800, 29, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.