GCD of 483, 147, 973 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 483, 147, 973 i.e. 7 largest integer that divides all the numbers equally.
GCD of 483, 147, 973 is 7
GCD(483, 147, 973) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 483, 147, 973 is 7
GCD(483, 147, 973) = 7
GCDof 483,147,973 is 7
Given Input numbers are 483, 147, 973
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Greatest Common Divisior
We found the divisors of 483, 147, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 147, 973 is 7.
Therefore, GCD of numbers 483, 147, 973 is 7
Given Input Data is 483, 147, 973
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 973 is 7 x 139
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 483, 147, 973 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(483, 147) = 3381
GCD(483, 147) = ( 483 x 147 ) / 3381
GCD(483, 147) = 71001 / 3381
GCD(483, 147) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 973
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 973) = 2919
GCD(21, 973) = ( 21 x 973 ) / 2919
GCD(21, 973) = 20433 / 2919
GCD(21, 973) = 7
GCD of 483, 147, 973 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 483, 147, 973
1. What is the GCD of 483, 147, 973?
GCD of 483, 147, 973 is 7
2. Where do I get the detailed procedure to find GCD of 483, 147, 973?
You can find a detailed procedure to find GCD of 483, 147, 973 on our page.
3. How to find GCD of 483, 147, 973 on a calculator?
You can find the GCD of 483, 147, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.