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 765, 854, 59, 748 i.e. 1 largest integer that divides all the numbers equally.
GCD of 765, 854, 59, 748 is 1
GCD(765, 854, 59, 748) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 765, 854, 59, 748 is 1
GCD(765, 854, 59, 748) = 1
Given Input numbers are 765, 854, 59, 748
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Greatest Common Divisior
We found the divisors of 765, 854, 59, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 854, 59, 748 is 1.
Therefore, GCD of numbers 765, 854, 59, 748 is 1
Given Input Data is 765, 854, 59, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 59 is 59
Prime Factorization of 748 is 2 x 2 x 11 x 17
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(765, 854) = 653310
GCD(765, 854) = ( 765 x 854 ) / 653310
GCD(765, 854) = 653310 / 653310
GCD(765, 854) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
GCD of 765, 854, 59, 748 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 765, 854, 59, 748?
GCD of 765, 854, 59, 748 is 1
2. Where do I get the detailed procedure to find GCD of 765, 854, 59, 748?
You can find a detailed procedure to find GCD of 765, 854, 59, 748 on our page.
3. How to find GCD of 765, 854, 59, 748 on a calculator?
You can find the GCD of 765, 854, 59, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.