GCD of 477, 996, 725 Calculator
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 477, 996, 725 i.e. 1 largest integer that divides all the numbers equally.
GCD of 477, 996, 725 is 1
GCD(477, 996, 725) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 477, 996, 725 is 1
GCD(477, 996, 725) = 1
GCDof 477,996,725 is 1
Given Input numbers are 477, 996, 725
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
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 477, 996, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 996, 725 is 1.
Therefore, GCD of numbers 477, 996, 725 is 1
Given Input Data is 477, 996, 725
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 725 is 5 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 477, 996, 725 using LCM Formula
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(477, 996) = 158364
GCD(477, 996) = ( 477 x 996 ) / 158364
GCD(477, 996) = 475092 / 158364
GCD(477, 996) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 725
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 725) = 2175
GCD(3, 725) = ( 3 x 725 ) / 2175
GCD(3, 725) = 2175 / 2175
GCD(3, 725) = 1
GCD of 477, 996, 725 is 1
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FAQs on GCD of numbers 477, 996, 725
1. What is the GCD of 477, 996, 725?
GCD of 477, 996, 725 is 1
2. Where do I get the detailed procedure to find GCD of 477, 996, 725?
You can find a detailed procedure to find GCD of 477, 996, 725 on our page.
3. How to find GCD of 477, 996, 725 on a calculator?
You can find the GCD of 477, 996, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.