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, 710, 861, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 742, 710, 861, 405 is 1
GCD(742, 710, 861, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 742, 710, 861, 405 is 1
GCD(742, 710, 861, 405) = 1
Given Input numbers are 742, 710, 861, 405
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 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Greatest Common Divisior
We found the divisors of 742, 710, 861, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 710, 861, 405 is 1.
Therefore, GCD of numbers 742, 710, 861, 405 is 1
Given Input Data is 742, 710, 861, 405
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 710 is 2 x 5 x 71
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 405 is 3 x 3 x 3 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, 710) = 263410
GCD(742, 710) = ( 742 x 710 ) / 263410
GCD(742, 710) = 526820 / 263410
GCD(742, 710) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 861) = 1722
GCD(2, 861) = ( 2 x 861 ) / 1722
GCD(2, 861) = 1722 / 1722
GCD(2, 861) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
GCD of 742, 710, 861, 405 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 742, 710, 861, 405?
GCD of 742, 710, 861, 405 is 1
2. Where do I get the detailed procedure to find GCD of 742, 710, 861, 405?
You can find a detailed procedure to find GCD of 742, 710, 861, 405 on our page.
3. How to find GCD of 742, 710, 861, 405 on a calculator?
You can find the GCD of 742, 710, 861, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.