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 769, 120, 25, 910 i.e. 1 largest integer that divides all the numbers equally.
GCD of 769, 120, 25, 910 is 1
GCD(769, 120, 25, 910) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 769, 120, 25, 910 is 1
GCD(769, 120, 25, 910) = 1
Given Input numbers are 769, 120, 25, 910
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Greatest Common Divisior
We found the divisors of 769, 120, 25, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 120, 25, 910 is 1.
Therefore, GCD of numbers 769, 120, 25, 910 is 1
Given Input Data is 769, 120, 25, 910
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 769 is 769
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 25 is 5 x 5
Prime Factorization of 910 is 2 x 5 x 7 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(769, 120) = 92280
GCD(769, 120) = ( 769 x 120 ) / 92280
GCD(769, 120) = 92280 / 92280
GCD(769, 120) = 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 910
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 910) = 910
GCD(1, 910) = ( 1 x 910 ) / 910
GCD(1, 910) = 910 / 910
GCD(1, 910) = 1
GCD of 769, 120, 25, 910 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 769, 120, 25, 910?
GCD of 769, 120, 25, 910 is 1
2. Where do I get the detailed procedure to find GCD of 769, 120, 25, 910?
You can find a detailed procedure to find GCD of 769, 120, 25, 910 on our page.
3. How to find GCD of 769, 120, 25, 910 on a calculator?
You can find the GCD of 769, 120, 25, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.