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 71, 671, 375, 637 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 671, 375, 637 is 1
GCD(71, 671, 375, 637) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 671, 375, 637 is 1
GCD(71, 671, 375, 637) = 1
Given Input numbers are 71, 671, 375, 637
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Greatest Common Divisior
We found the divisors of 71, 671, 375, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 671, 375, 637 is 1.
Therefore, GCD of numbers 71, 671, 375, 637 is 1
Given Input Data is 71, 671, 375, 637
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 671 is 11 x 61
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 637 is 7 x 7 x 13
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(71, 671) = 47641
GCD(71, 671) = ( 71 x 671 ) / 47641
GCD(71, 671) = 47641 / 47641
GCD(71, 671) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
GCD(1, 375) = 375 / 375
GCD(1, 375) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 637
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 637) = 637
GCD(1, 637) = ( 1 x 637 ) / 637
GCD(1, 637) = 637 / 637
GCD(1, 637) = 1
GCD of 71, 671, 375, 637 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 671, 375, 637?
GCD of 71, 671, 375, 637 is 1
2. Where do I get the detailed procedure to find GCD of 71, 671, 375, 637?
You can find a detailed procedure to find GCD of 71, 671, 375, 637 on our page.
3. How to find GCD of 71, 671, 375, 637 on a calculator?
You can find the GCD of 71, 671, 375, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.