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 853, 676, 600, 342 i.e. 1 largest integer that divides all the numbers equally.
GCD of 853, 676, 600, 342 is 1
GCD(853, 676, 600, 342) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 853, 676, 600, 342 is 1
GCD(853, 676, 600, 342) = 1
Given Input numbers are 853, 676, 600, 342
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
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
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Greatest Common Divisior
We found the divisors of 853, 676, 600, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 676, 600, 342 is 1.
Therefore, GCD of numbers 853, 676, 600, 342 is 1
Given Input Data is 853, 676, 600, 342
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 853 is 853
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 342 is 2 x 3 x 3 x 19
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(853, 676) = 576628
GCD(853, 676) = ( 853 x 676 ) / 576628
GCD(853, 676) = 576628 / 576628
GCD(853, 676) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
GCD(1, 342) = 342 / 342
GCD(1, 342) = 1
GCD of 853, 676, 600, 342 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 853, 676, 600, 342?
GCD of 853, 676, 600, 342 is 1
2. Where do I get the detailed procedure to find GCD of 853, 676, 600, 342?
You can find a detailed procedure to find GCD of 853, 676, 600, 342 on our page.
3. How to find GCD of 853, 676, 600, 342 on a calculator?
You can find the GCD of 853, 676, 600, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.