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 644, 708, 549, 476 i.e. 1 largest integer that divides all the numbers equally.
GCD of 644, 708, 549, 476 is 1
GCD(644, 708, 549, 476) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 644, 708, 549, 476 is 1
GCD(644, 708, 549, 476) = 1
Given Input numbers are 644, 708, 549, 476
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Greatest Common Divisior
We found the divisors of 644, 708, 549, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 708, 549, 476 is 1.
Therefore, GCD of numbers 644, 708, 549, 476 is 1
Given Input Data is 644, 708, 549, 476
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 644 is 2 x 2 x 7 x 23
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 476 is 2 x 2 x 7 x 17
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(644, 708) = 113988
GCD(644, 708) = ( 644 x 708 ) / 113988
GCD(644, 708) = 455952 / 113988
GCD(644, 708) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 549
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 549) = 2196
GCD(4, 549) = ( 4 x 549 ) / 2196
GCD(4, 549) = 2196 / 2196
GCD(4, 549) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 476) = 476
GCD(1, 476) = ( 1 x 476 ) / 476
GCD(1, 476) = 476 / 476
GCD(1, 476) = 1
GCD of 644, 708, 549, 476 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 644, 708, 549, 476?
GCD of 644, 708, 549, 476 is 1
2. Where do I get the detailed procedure to find GCD of 644, 708, 549, 476?
You can find a detailed procedure to find GCD of 644, 708, 549, 476 on our page.
3. How to find GCD of 644, 708, 549, 476 on a calculator?
You can find the GCD of 644, 708, 549, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.