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 730, 889, 112, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 730, 889, 112, 371 is 1
GCD(730, 889, 112, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 889, 112, 371 is 1
GCD(730, 889, 112, 371) = 1
Given Input numbers are 730, 889, 112, 371
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
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 730, 889, 112, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 889, 112, 371 is 1.
Therefore, GCD of numbers 730, 889, 112, 371 is 1
Given Input Data is 730, 889, 112, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 889 is 7 x 127
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 371 is 7 x 53
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(730, 889) = 648970
GCD(730, 889) = ( 730 x 889 ) / 648970
GCD(730, 889) = 648970 / 648970
GCD(730, 889) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
GCD of 730, 889, 112, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 889, 112, 371?
GCD of 730, 889, 112, 371 is 1
2. Where do I get the detailed procedure to find GCD of 730, 889, 112, 371?
You can find a detailed procedure to find GCD of 730, 889, 112, 371 on our page.
3. How to find GCD of 730, 889, 112, 371 on a calculator?
You can find the GCD of 730, 889, 112, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.