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 696, 109, 78, 925 i.e. 1 largest integer that divides all the numbers equally.
GCD of 696, 109, 78, 925 is 1
GCD(696, 109, 78, 925) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 696, 109, 78, 925 is 1
GCD(696, 109, 78, 925) = 1
Given Input numbers are 696, 109, 78, 925
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Greatest Common Divisior
We found the divisors of 696, 109, 78, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 109, 78, 925 is 1.
Therefore, GCD of numbers 696, 109, 78, 925 is 1
Given Input Data is 696, 109, 78, 925
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
Prime Factorization of 109 is 109
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 925 is 5 x 5 x 37
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(696, 109) = 75864
GCD(696, 109) = ( 696 x 109 ) / 75864
GCD(696, 109) = 75864 / 75864
GCD(696, 109) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 925
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 925) = 925
GCD(1, 925) = ( 1 x 925 ) / 925
GCD(1, 925) = 925 / 925
GCD(1, 925) = 1
GCD of 696, 109, 78, 925 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 696, 109, 78, 925?
GCD of 696, 109, 78, 925 is 1
2. Where do I get the detailed procedure to find GCD of 696, 109, 78, 925?
You can find a detailed procedure to find GCD of 696, 109, 78, 925 on our page.
3. How to find GCD of 696, 109, 78, 925 on a calculator?
You can find the GCD of 696, 109, 78, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.