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 700, 866, 458, 364 i.e. 2 largest integer that divides all the numbers equally.
GCD of 700, 866, 458, 364 is 2
GCD(700, 866, 458, 364) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 866, 458, 364 is 2
GCD(700, 866, 458, 364) = 2
Given Input numbers are 700, 866, 458, 364
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 866
List of positive integer divisors of 866 that divides 866 without a remainder.
1, 2, 433, 866
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
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
Greatest Common Divisior
We found the divisors of 700, 866, 458, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 866, 458, 364 is 2.
Therefore, GCD of numbers 700, 866, 458, 364 is 2
Given Input Data is 700, 866, 458, 364
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 866 is 2 x 433
Prime Factorization of 458 is 2 x 229
Prime Factorization of 364 is 2 x 2 x 7 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(700, 866) = 303100
GCD(700, 866) = ( 700 x 866 ) / 303100
GCD(700, 866) = 606200 / 303100
GCD(700, 866) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 458
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 458) = 458
GCD(2, 458) = ( 2 x 458 ) / 458
GCD(2, 458) = 916 / 458
GCD(2, 458) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 364
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
GCD(2, 364) = 728 / 364
GCD(2, 364) = 2
GCD of 700, 866, 458, 364 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 866, 458, 364?
GCD of 700, 866, 458, 364 is 2
2. Where do I get the detailed procedure to find GCD of 700, 866, 458, 364?
You can find a detailed procedure to find GCD of 700, 866, 458, 364 on our page.
3. How to find GCD of 700, 866, 458, 364 on a calculator?
You can find the GCD of 700, 866, 458, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.