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 359, 880, 400, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 880, 400, 760 is 1
GCD(359, 880, 400, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 880, 400, 760 is 1
GCD(359, 880, 400, 760) = 1
Given Input numbers are 359, 880, 400, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
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 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 359, 880, 400, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 880, 400, 760 is 1.
Therefore, GCD of numbers 359, 880, 400, 760 is 1
Given Input Data is 359, 880, 400, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
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(359, 880) = 315920
GCD(359, 880) = ( 359 x 880 ) / 315920
GCD(359, 880) = 315920 / 315920
GCD(359, 880) = 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 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
GCD of 359, 880, 400, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 880, 400, 760?
GCD of 359, 880, 400, 760 is 1
2. Where do I get the detailed procedure to find GCD of 359, 880, 400, 760?
You can find a detailed procedure to find GCD of 359, 880, 400, 760 on our page.
3. How to find GCD of 359, 880, 400, 760 on a calculator?
You can find the GCD of 359, 880, 400, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.