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, 713, 43, 120 i.e. 1 largest integer that divides all the numbers equally.
GCD of 742, 713, 43, 120 is 1
GCD(742, 713, 43, 120) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 742, 713, 43, 120 is 1
GCD(742, 713, 43, 120) = 1
Given Input numbers are 742, 713, 43, 120
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 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Greatest Common Divisior
We found the divisors of 742, 713, 43, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 713, 43, 120 is 1.
Therefore, GCD of numbers 742, 713, 43, 120 is 1
Given Input Data is 742, 713, 43, 120
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 713 is 23 x 31
Prime Factorization of 43 is 43
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
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, 713) = 529046
GCD(742, 713) = ( 742 x 713 ) / 529046
GCD(742, 713) = 529046 / 529046
GCD(742, 713) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 43) = 43
GCD(1, 43) = ( 1 x 43 ) / 43
GCD(1, 43) = 43 / 43
GCD(1, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 120
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 120) = 120
GCD(1, 120) = ( 1 x 120 ) / 120
GCD(1, 120) = 120 / 120
GCD(1, 120) = 1
GCD of 742, 713, 43, 120 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 742, 713, 43, 120?
GCD of 742, 713, 43, 120 is 1
2. Where do I get the detailed procedure to find GCD of 742, 713, 43, 120?
You can find a detailed procedure to find GCD of 742, 713, 43, 120 on our page.
3. How to find GCD of 742, 713, 43, 120 on a calculator?
You can find the GCD of 742, 713, 43, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.