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 973, 217, 434, 371 i.e. 7 largest integer that divides all the numbers equally.
GCD of 973, 217, 434, 371 is 7
GCD(973, 217, 434, 371) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 973, 217, 434, 371 is 7
GCD(973, 217, 434, 371) = 7
Given Input numbers are 973, 217, 434, 371
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 973, 217, 434, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 217, 434, 371 is 7.
Therefore, GCD of numbers 973, 217, 434, 371 is 7
Given Input Data is 973, 217, 434, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 973 is 7 x 139
Prime Factorization of 217 is 7 x 31
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 371 is 7 x 53
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
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(973, 217) = 30163
GCD(973, 217) = ( 973 x 217 ) / 30163
GCD(973, 217) = 211141 / 30163
GCD(973, 217) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 434
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 434) = 434
GCD(7, 434) = ( 7 x 434 ) / 434
GCD(7, 434) = 3038 / 434
GCD(7, 434) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 371) = 371
GCD(7, 371) = ( 7 x 371 ) / 371
GCD(7, 371) = 2597 / 371
GCD(7, 371) = 7
GCD of 973, 217, 434, 371 is 7
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 973, 217, 434, 371?
GCD of 973, 217, 434, 371 is 7
2. Where do I get the detailed procedure to find GCD of 973, 217, 434, 371?
You can find a detailed procedure to find GCD of 973, 217, 434, 371 on our page.
3. How to find GCD of 973, 217, 434, 371 on a calculator?
You can find the GCD of 973, 217, 434, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.