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 638, 690, 24, 760 i.e. 2 largest integer that divides all the numbers equally.
GCD of 638, 690, 24, 760 is 2
GCD(638, 690, 24, 760) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 638, 690, 24, 760 is 2
GCD(638, 690, 24, 760) = 2
Given Input numbers are 638, 690, 24, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 638, 690, 24, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 690, 24, 760 is 2.
Therefore, GCD of numbers 638, 690, 24, 760 is 2
Given Input Data is 638, 690, 24, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
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(638, 690) = 220110
GCD(638, 690) = ( 638 x 690 ) / 220110
GCD(638, 690) = 440220 / 220110
GCD(638, 690) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 24) = 24
GCD(2, 24) = ( 2 x 24 ) / 24
GCD(2, 24) = 48 / 24
GCD(2, 24) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 760) = 760
GCD(2, 760) = ( 2 x 760 ) / 760
GCD(2, 760) = 1520 / 760
GCD(2, 760) = 2
GCD of 638, 690, 24, 760 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 638, 690, 24, 760?
GCD of 638, 690, 24, 760 is 2
2. Where do I get the detailed procedure to find GCD of 638, 690, 24, 760?
You can find a detailed procedure to find GCD of 638, 690, 24, 760 on our page.
3. How to find GCD of 638, 690, 24, 760 on a calculator?
You can find the GCD of 638, 690, 24, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.