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 576, 735, 486, 637 i.e. 1 largest integer that divides all the numbers equally.
GCD of 576, 735, 486, 637 is 1
GCD(576, 735, 486, 637) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 576, 735, 486, 637 is 1
GCD(576, 735, 486, 637) = 1
Given Input numbers are 576, 735, 486, 637
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
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 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Greatest Common Divisior
We found the divisors of 576, 735, 486, 637 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 735, 486, 637 is 1.
Therefore, GCD of numbers 576, 735, 486, 637 is 1
Given Input Data is 576, 735, 486, 637
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 637 is 7 x 7 x 13
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(576, 735) = 141120
GCD(576, 735) = ( 576 x 735 ) / 141120
GCD(576, 735) = 423360 / 141120
GCD(576, 735) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 486) = 486
GCD(3, 486) = ( 3 x 486 ) / 486
GCD(3, 486) = 1458 / 486
GCD(3, 486) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 637
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 637) = 1911
GCD(3, 637) = ( 3 x 637 ) / 1911
GCD(3, 637) = 1911 / 1911
GCD(3, 637) = 1
GCD of 576, 735, 486, 637 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 576, 735, 486, 637?
GCD of 576, 735, 486, 637 is 1
2. Where do I get the detailed procedure to find GCD of 576, 735, 486, 637?
You can find a detailed procedure to find GCD of 576, 735, 486, 637 on our page.
3. How to find GCD of 576, 735, 486, 637 on a calculator?
You can find the GCD of 576, 735, 486, 637 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.