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 735, 234, 400, 771 i.e. 1 largest integer that divides all the numbers equally.
GCD of 735, 234, 400, 771 is 1
GCD(735, 234, 400, 771) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 735, 234, 400, 771 is 1
GCD(735, 234, 400, 771) = 1
Given Input numbers are 735, 234, 400, 771
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
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 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Greatest Common Divisior
We found the divisors of 735, 234, 400, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 234, 400, 771 is 1.
Therefore, GCD of numbers 735, 234, 400, 771 is 1
Given Input Data is 735, 234, 400, 771
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 771 is 3 x 257
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(735, 234) = 57330
GCD(735, 234) = ( 735 x 234 ) / 57330
GCD(735, 234) = 171990 / 57330
GCD(735, 234) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 400) = 1200
GCD(3, 400) = ( 3 x 400 ) / 1200
GCD(3, 400) = 1200 / 1200
GCD(3, 400) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 771
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 771) = 771
GCD(1, 771) = ( 1 x 771 ) / 771
GCD(1, 771) = 771 / 771
GCD(1, 771) = 1
GCD of 735, 234, 400, 771 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 735, 234, 400, 771?
GCD of 735, 234, 400, 771 is 1
2. Where do I get the detailed procedure to find GCD of 735, 234, 400, 771?
You can find a detailed procedure to find GCD of 735, 234, 400, 771 on our page.
3. How to find GCD of 735, 234, 400, 771 on a calculator?
You can find the GCD of 735, 234, 400, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.