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 774, 420, 75, 424 i.e. 1 largest integer that divides all the numbers equally.
GCD of 774, 420, 75, 424 is 1
GCD(774, 420, 75, 424) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 774, 420, 75, 424 is 1
GCD(774, 420, 75, 424) = 1
Given Input numbers are 774, 420, 75, 424
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Greatest Common Divisior
We found the divisors of 774, 420, 75, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 420, 75, 424 is 1.
Therefore, GCD of numbers 774, 420, 75, 424 is 1
Given Input Data is 774, 420, 75, 424
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 424 is 2 x 2 x 2 x 53
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(774, 420) = 54180
GCD(774, 420) = ( 774 x 420 ) / 54180
GCD(774, 420) = 325080 / 54180
GCD(774, 420) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 75) = 150
GCD(6, 75) = ( 6 x 75 ) / 150
GCD(6, 75) = 450 / 150
GCD(6, 75) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 424) = 1272
GCD(3, 424) = ( 3 x 424 ) / 1272
GCD(3, 424) = 1272 / 1272
GCD(3, 424) = 1
GCD of 774, 420, 75, 424 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 774, 420, 75, 424?
GCD of 774, 420, 75, 424 is 1
2. Where do I get the detailed procedure to find GCD of 774, 420, 75, 424?
You can find a detailed procedure to find GCD of 774, 420, 75, 424 on our page.
3. How to find GCD of 774, 420, 75, 424 on a calculator?
You can find the GCD of 774, 420, 75, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.