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, 975, 93, 742 i.e. 1 largest integer that divides all the numbers equally.
GCD of 730, 975, 93, 742 is 1
GCD(730, 975, 93, 742) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 975, 93, 742 is 1
GCD(730, 975, 93, 742) = 1
Given Input numbers are 730, 975, 93, 742
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 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 730, 975, 93, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 975, 93, 742 is 1.
Therefore, GCD of numbers 730, 975, 93, 742 is 1
Given Input Data is 730, 975, 93, 742
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 975 is 3 x 5 x 5 x 13
Prime Factorization of 93 is 3 x 31
Prime Factorization of 742 is 2 x 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, 975) = 142350
GCD(730, 975) = ( 730 x 975 ) / 142350
GCD(730, 975) = 711750 / 142350
GCD(730, 975) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 93) = 465
GCD(5, 93) = ( 5 x 93 ) / 465
GCD(5, 93) = 465 / 465
GCD(5, 93) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
GCD of 730, 975, 93, 742 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 975, 93, 742?
GCD of 730, 975, 93, 742 is 1
2. Where do I get the detailed procedure to find GCD of 730, 975, 93, 742?
You can find a detailed procedure to find GCD of 730, 975, 93, 742 on our page.
3. How to find GCD of 730, 975, 93, 742 on a calculator?
You can find the GCD of 730, 975, 93, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.