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 373, 654, 71, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 373, 654, 71, 472 is 1
GCD(373, 654, 71, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 373, 654, 71, 472 is 1
GCD(373, 654, 71, 472) = 1
Given Input numbers are 373, 654, 71, 472
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 373, 654, 71, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 373, 654, 71, 472 is 1.
Therefore, GCD of numbers 373, 654, 71, 472 is 1
Given Input Data is 373, 654, 71, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 373 is 373
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 71 is 71
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(373, 654) = 243942
GCD(373, 654) = ( 373 x 654 ) / 243942
GCD(373, 654) = 243942 / 243942
GCD(373, 654) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 71) = 71
GCD(1, 71) = ( 1 x 71 ) / 71
GCD(1, 71) = 71 / 71
GCD(1, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 472) = 472
GCD(1, 472) = ( 1 x 472 ) / 472
GCD(1, 472) = 472 / 472
GCD(1, 472) = 1
GCD of 373, 654, 71, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 373, 654, 71, 472?
GCD of 373, 654, 71, 472 is 1
2. Where do I get the detailed procedure to find GCD of 373, 654, 71, 472?
You can find a detailed procedure to find GCD of 373, 654, 71, 472 on our page.
3. How to find GCD of 373, 654, 71, 472 on a calculator?
You can find the GCD of 373, 654, 71, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.