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 742, 111, 66, 759 i.e. 1 largest integer that divides all the numbers equally.
GCD of 742, 111, 66, 759 is 1
GCD(742, 111, 66, 759) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 742, 111, 66, 759 is 1
GCD(742, 111, 66, 759) = 1
Given Input numbers are 742, 111, 66, 759
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Greatest Common Divisior
We found the divisors of 742, 111, 66, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 111, 66, 759 is 1.
Therefore, GCD of numbers 742, 111, 66, 759 is 1
Given Input Data is 742, 111, 66, 759
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 111 is 3 x 37
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 759 is 3 x 11 x 23
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(742, 111) = 82362
GCD(742, 111) = ( 742 x 111 ) / 82362
GCD(742, 111) = 82362 / 82362
GCD(742, 111) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 759) = 759
GCD(1, 759) = ( 1 x 759 ) / 759
GCD(1, 759) = 759 / 759
GCD(1, 759) = 1
GCD of 742, 111, 66, 759 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 742, 111, 66, 759?
GCD of 742, 111, 66, 759 is 1
2. Where do I get the detailed procedure to find GCD of 742, 111, 66, 759?
You can find a detailed procedure to find GCD of 742, 111, 66, 759 on our page.
3. How to find GCD of 742, 111, 66, 759 on a calculator?
You can find the GCD of 742, 111, 66, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.