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 103, 440, 425, 747 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 440, 425, 747 is 1
GCD(103, 440, 425, 747) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 440, 425, 747 is 1
GCD(103, 440, 425, 747) = 1
Given Input numbers are 103, 440, 425, 747
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Greatest Common Divisior
We found the divisors of 103, 440, 425, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 440, 425, 747 is 1.
Therefore, GCD of numbers 103, 440, 425, 747 is 1
Given Input Data is 103, 440, 425, 747
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 747 is 3 x 3 x 83
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(103, 440) = 45320
GCD(103, 440) = ( 103 x 440 ) / 45320
GCD(103, 440) = 45320 / 45320
GCD(103, 440) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 425) = 425
GCD(1, 425) = ( 1 x 425 ) / 425
GCD(1, 425) = 425 / 425
GCD(1, 425) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
GCD(1, 747) = 747 / 747
GCD(1, 747) = 1
GCD of 103, 440, 425, 747 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 440, 425, 747?
GCD of 103, 440, 425, 747 is 1
2. Where do I get the detailed procedure to find GCD of 103, 440, 425, 747?
You can find a detailed procedure to find GCD of 103, 440, 425, 747 on our page.
3. How to find GCD of 103, 440, 425, 747 on a calculator?
You can find the GCD of 103, 440, 425, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.