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 758, 424, 25, 777 i.e. 1 largest integer that divides all the numbers equally.
GCD of 758, 424, 25, 777 is 1
GCD(758, 424, 25, 777) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 758, 424, 25, 777 is 1
GCD(758, 424, 25, 777) = 1
Given Input numbers are 758, 424, 25, 777
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Greatest Common Divisior
We found the divisors of 758, 424, 25, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 424, 25, 777 is 1.
Therefore, GCD of numbers 758, 424, 25, 777 is 1
Given Input Data is 758, 424, 25, 777
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 758 is 2 x 379
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 25 is 5 x 5
Prime Factorization of 777 is 3 x 7 x 37
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(758, 424) = 160696
GCD(758, 424) = ( 758 x 424 ) / 160696
GCD(758, 424) = 321392 / 160696
GCD(758, 424) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 25) = 50
GCD(2, 25) = ( 2 x 25 ) / 50
GCD(2, 25) = 50 / 50
GCD(2, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 777
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 777) = 777
GCD(1, 777) = ( 1 x 777 ) / 777
GCD(1, 777) = 777 / 777
GCD(1, 777) = 1
GCD of 758, 424, 25, 777 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 758, 424, 25, 777?
GCD of 758, 424, 25, 777 is 1
2. Where do I get the detailed procedure to find GCD of 758, 424, 25, 777?
You can find a detailed procedure to find GCD of 758, 424, 25, 777 on our page.
3. How to find GCD of 758, 424, 25, 777 on a calculator?
You can find the GCD of 758, 424, 25, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.