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 626, 202, 750, 522 i.e. 2 largest integer that divides all the numbers equally.
GCD of 626, 202, 750, 522 is 2
GCD(626, 202, 750, 522) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 626, 202, 750, 522 is 2
GCD(626, 202, 750, 522) = 2
Given Input numbers are 626, 202, 750, 522
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Greatest Common Divisior
We found the divisors of 626, 202, 750, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 626, 202, 750, 522 is 2.
Therefore, GCD of numbers 626, 202, 750, 522 is 2
Given Input Data is 626, 202, 750, 522
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 626 is 2 x 313
Prime Factorization of 202 is 2 x 101
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 522 is 2 x 3 x 3 x 29
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(626, 202) = 63226
GCD(626, 202) = ( 626 x 202 ) / 63226
GCD(626, 202) = 126452 / 63226
GCD(626, 202) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 750) = 750
GCD(2, 750) = ( 2 x 750 ) / 750
GCD(2, 750) = 1500 / 750
GCD(2, 750) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 522
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 522) = 522
GCD(2, 522) = ( 2 x 522 ) / 522
GCD(2, 522) = 1044 / 522
GCD(2, 522) = 2
GCD of 626, 202, 750, 522 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 626, 202, 750, 522?
GCD of 626, 202, 750, 522 is 2
2. Where do I get the detailed procedure to find GCD of 626, 202, 750, 522?
You can find a detailed procedure to find GCD of 626, 202, 750, 522 on our page.
3. How to find GCD of 626, 202, 750, 522 on a calculator?
You can find the GCD of 626, 202, 750, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.