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 492, 134, 45, 725 i.e. 1 largest integer that divides all the numbers equally.
GCD of 492, 134, 45, 725 is 1
GCD(492, 134, 45, 725) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 492, 134, 45, 725 is 1
GCD(492, 134, 45, 725) = 1
Given Input numbers are 492, 134, 45, 725
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 492
List of positive integer divisors of 492 that divides 492 without a remainder.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Greatest Common Divisior
We found the divisors of 492, 134, 45, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 134, 45, 725 is 1.
Therefore, GCD of numbers 492, 134, 45, 725 is 1
Given Input Data is 492, 134, 45, 725
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 492 is 2 x 2 x 3 x 41
Prime Factorization of 134 is 2 x 67
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 725 is 5 x 5 x 29
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(492, 134) = 32964
GCD(492, 134) = ( 492 x 134 ) / 32964
GCD(492, 134) = 65928 / 32964
GCD(492, 134) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 45) = 90
GCD(2, 45) = ( 2 x 45 ) / 90
GCD(2, 45) = 90 / 90
GCD(2, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 725
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
GCD(1, 725) = 725 / 725
GCD(1, 725) = 1
GCD of 492, 134, 45, 725 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 492, 134, 45, 725?
GCD of 492, 134, 45, 725 is 1
2. Where do I get the detailed procedure to find GCD of 492, 134, 45, 725?
You can find a detailed procedure to find GCD of 492, 134, 45, 725 on our page.
3. How to find GCD of 492, 134, 45, 725 on a calculator?
You can find the GCD of 492, 134, 45, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.