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 11, 742, 534, 785 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 742, 534, 785 is 1
GCD(11, 742, 534, 785) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 742, 534, 785 is 1
GCD(11, 742, 534, 785) = 1
Given Input numbers are 11, 742, 534, 785
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
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 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Greatest Common Divisior
We found the divisors of 11, 742, 534, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 742, 534, 785 is 1.
Therefore, GCD of numbers 11, 742, 534, 785 is 1
Given Input Data is 11, 742, 534, 785
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 534 is 2 x 3 x 89
Prime Factorization of 785 is 5 x 157
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(11, 742) = 8162
GCD(11, 742) = ( 11 x 742 ) / 8162
GCD(11, 742) = 8162 / 8162
GCD(11, 742) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 534) = 534
GCD(1, 534) = ( 1 x 534 ) / 534
GCD(1, 534) = 534 / 534
GCD(1, 534) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 785) = 785
GCD(1, 785) = ( 1 x 785 ) / 785
GCD(1, 785) = 785 / 785
GCD(1, 785) = 1
GCD of 11, 742, 534, 785 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 742, 534, 785?
GCD of 11, 742, 534, 785 is 1
2. Where do I get the detailed procedure to find GCD of 11, 742, 534, 785?
You can find a detailed procedure to find GCD of 11, 742, 534, 785 on our page.
3. How to find GCD of 11, 742, 534, 785 on a calculator?
You can find the GCD of 11, 742, 534, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.