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 378, 551, 25, 734 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 551, 25, 734 is 1
GCD(378, 551, 25, 734) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 551, 25, 734 is 1
GCD(378, 551, 25, 734) = 1
Given Input numbers are 378, 551, 25, 734
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Greatest Common Divisior
We found the divisors of 378, 551, 25, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 551, 25, 734 is 1.
Therefore, GCD of numbers 378, 551, 25, 734 is 1
Given Input Data is 378, 551, 25, 734
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 551 is 19 x 29
Prime Factorization of 25 is 5 x 5
Prime Factorization of 734 is 2 x 367
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(378, 551) = 208278
GCD(378, 551) = ( 378 x 551 ) / 208278
GCD(378, 551) = 208278 / 208278
GCD(378, 551) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
GCD of 378, 551, 25, 734 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 551, 25, 734?
GCD of 378, 551, 25, 734 is 1
2. Where do I get the detailed procedure to find GCD of 378, 551, 25, 734?
You can find a detailed procedure to find GCD of 378, 551, 25, 734 on our page.
3. How to find GCD of 378, 551, 25, 734 on a calculator?
You can find the GCD of 378, 551, 25, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.