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, 438, 520, 148 i.e. 1 largest integer that divides all the numbers equally.
GCD of 973, 438, 520, 148 is 1
GCD(973, 438, 520, 148) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 973, 438, 520, 148 is 1
GCD(973, 438, 520, 148) = 1
Given Input numbers are 973, 438, 520, 148
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 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Greatest Common Divisior
We found the divisors of 973, 438, 520, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 438, 520, 148 is 1.
Therefore, GCD of numbers 973, 438, 520, 148 is 1
Given Input Data is 973, 438, 520, 148
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 973 is 7 x 139
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 148 is 2 x 2 x 37
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(973, 438) = 426174
GCD(973, 438) = ( 973 x 438 ) / 426174
GCD(973, 438) = 426174 / 426174
GCD(973, 438) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 520
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 520) = 520
GCD(1, 520) = ( 1 x 520 ) / 520
GCD(1, 520) = 520 / 520
GCD(1, 520) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
GCD(1, 148) = 148 / 148
GCD(1, 148) = 1
GCD of 973, 438, 520, 148 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 973, 438, 520, 148?
GCD of 973, 438, 520, 148 is 1
2. Where do I get the detailed procedure to find GCD of 973, 438, 520, 148?
You can find a detailed procedure to find GCD of 973, 438, 520, 148 on our page.
3. How to find GCD of 973, 438, 520, 148 on a calculator?
You can find the GCD of 973, 438, 520, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.