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 738, 486, 34, 885 i.e. 1 largest integer that divides all the numbers equally.
GCD of 738, 486, 34, 885 is 1
GCD(738, 486, 34, 885) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 738, 486, 34, 885 is 1
GCD(738, 486, 34, 885) = 1
Given Input numbers are 738, 486, 34, 885
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Greatest Common Divisior
We found the divisors of 738, 486, 34, 885 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 738, 486, 34, 885 is 1.
Therefore, GCD of numbers 738, 486, 34, 885 is 1
Given Input Data is 738, 486, 34, 885
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 738 is 2 x 3 x 3 x 41
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 34 is 2 x 17
Prime Factorization of 885 is 3 x 5 x 59
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(738, 486) = 19926
GCD(738, 486) = ( 738 x 486 ) / 19926
GCD(738, 486) = 358668 / 19926
GCD(738, 486) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 34) = 306
GCD(18, 34) = ( 18 x 34 ) / 306
GCD(18, 34) = 612 / 306
GCD(18, 34) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 885) = 1770
GCD(2, 885) = ( 2 x 885 ) / 1770
GCD(2, 885) = 1770 / 1770
GCD(2, 885) = 1
GCD of 738, 486, 34, 885 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 738, 486, 34, 885?
GCD of 738, 486, 34, 885 is 1
2. Where do I get the detailed procedure to find GCD of 738, 486, 34, 885?
You can find a detailed procedure to find GCD of 738, 486, 34, 885 on our page.
3. How to find GCD of 738, 486, 34, 885 on a calculator?
You can find the GCD of 738, 486, 34, 885 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.