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 101, 725, 428, 991 i.e. 1 largest integer that divides all the numbers equally.
GCD of 101, 725, 428, 991 is 1
GCD(101, 725, 428, 991) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 101, 725, 428, 991 is 1
GCD(101, 725, 428, 991) = 1
Given Input numbers are 101, 725, 428, 991
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 991
List of positive integer divisors of 991 that divides 991 without a remainder.
1, 991
Greatest Common Divisior
We found the divisors of 101, 725, 428, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 725, 428, 991 is 1.
Therefore, GCD of numbers 101, 725, 428, 991 is 1
Given Input Data is 101, 725, 428, 991
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 101 is 101
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 991 is 991
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(101, 725) = 73225
GCD(101, 725) = ( 101 x 725 ) / 73225
GCD(101, 725) = 73225 / 73225
GCD(101, 725) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 991
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
GCD(1, 991) = 991 / 991
GCD(1, 991) = 1
GCD of 101, 725, 428, 991 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 101, 725, 428, 991?
GCD of 101, 725, 428, 991 is 1
2. Where do I get the detailed procedure to find GCD of 101, 725, 428, 991?
You can find a detailed procedure to find GCD of 101, 725, 428, 991 on our page.
3. How to find GCD of 101, 725, 428, 991 on a calculator?
You can find the GCD of 101, 725, 428, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.