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 671, 478, 51, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 671, 478, 51, 745 is 1
GCD(671, 478, 51, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 671, 478, 51, 745 is 1
GCD(671, 478, 51, 745) = 1
Given Input numbers are 671, 478, 51, 745
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 671, 478, 51, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 671, 478, 51, 745 is 1.
Therefore, GCD of numbers 671, 478, 51, 745 is 1
Given Input Data is 671, 478, 51, 745
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 671 is 11 x 61
Prime Factorization of 478 is 2 x 239
Prime Factorization of 51 is 3 x 17
Prime Factorization of 745 is 5 x 149
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(671, 478) = 320738
GCD(671, 478) = ( 671 x 478 ) / 320738
GCD(671, 478) = 320738 / 320738
GCD(671, 478) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 671, 478, 51, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 671, 478, 51, 745?
GCD of 671, 478, 51, 745 is 1
2. Where do I get the detailed procedure to find GCD of 671, 478, 51, 745?
You can find a detailed procedure to find GCD of 671, 478, 51, 745 on our page.
3. How to find GCD of 671, 478, 51, 745 on a calculator?
You can find the GCD of 671, 478, 51, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.