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 364, 345, 62, 868 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 345, 62, 868 is 1
GCD(364, 345, 62, 868) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 345, 62, 868 is 1
GCD(364, 345, 62, 868) = 1
Given Input numbers are 364, 345, 62, 868
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 868
List of positive integer divisors of 868 that divides 868 without a remainder.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Greatest Common Divisior
We found the divisors of 364, 345, 62, 868 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 345, 62, 868 is 1.
Therefore, GCD of numbers 364, 345, 62, 868 is 1
Given Input Data is 364, 345, 62, 868
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 62 is 2 x 31
Prime Factorization of 868 is 2 x 2 x 7 x 31
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(364, 345) = 125580
GCD(364, 345) = ( 364 x 345 ) / 125580
GCD(364, 345) = 125580 / 125580
GCD(364, 345) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 62
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 62) = 62
GCD(1, 62) = ( 1 x 62 ) / 62
GCD(1, 62) = 62 / 62
GCD(1, 62) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 868
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 868) = 868
GCD(1, 868) = ( 1 x 868 ) / 868
GCD(1, 868) = 868 / 868
GCD(1, 868) = 1
GCD of 364, 345, 62, 868 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 345, 62, 868?
GCD of 364, 345, 62, 868 is 1
2. Where do I get the detailed procedure to find GCD of 364, 345, 62, 868?
You can find a detailed procedure to find GCD of 364, 345, 62, 868 on our page.
3. How to find GCD of 364, 345, 62, 868 on a calculator?
You can find the GCD of 364, 345, 62, 868 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.