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 635, 378, 400, 260 i.e. 1 largest integer that divides all the numbers equally.
GCD of 635, 378, 400, 260 is 1
GCD(635, 378, 400, 260) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 635, 378, 400, 260 is 1
GCD(635, 378, 400, 260) = 1
Given Input numbers are 635, 378, 400, 260
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
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 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Greatest Common Divisior
We found the divisors of 635, 378, 400, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 378, 400, 260 is 1.
Therefore, GCD of numbers 635, 378, 400, 260 is 1
Given Input Data is 635, 378, 400, 260
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 635 is 5 x 127
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 260 is 2 x 2 x 5 x 13
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(635, 378) = 240030
GCD(635, 378) = ( 635 x 378 ) / 240030
GCD(635, 378) = 240030 / 240030
GCD(635, 378) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 260
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 260) = 260
GCD(1, 260) = ( 1 x 260 ) / 260
GCD(1, 260) = 260 / 260
GCD(1, 260) = 1
GCD of 635, 378, 400, 260 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 635, 378, 400, 260?
GCD of 635, 378, 400, 260 is 1
2. Where do I get the detailed procedure to find GCD of 635, 378, 400, 260?
You can find a detailed procedure to find GCD of 635, 378, 400, 260 on our page.
3. How to find GCD of 635, 378, 400, 260 on a calculator?
You can find the GCD of 635, 378, 400, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.