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 307, 704, 73, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 704, 73, 588 is 1
GCD(307, 704, 73, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 704, 73, 588 is 1
GCD(307, 704, 73, 588) = 1
Given Input numbers are 307, 704, 73, 588
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 307, 704, 73, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 704, 73, 588 is 1.
Therefore, GCD of numbers 307, 704, 73, 588 is 1
Given Input Data is 307, 704, 73, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 73 is 73
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
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(307, 704) = 216128
GCD(307, 704) = ( 307 x 704 ) / 216128
GCD(307, 704) = 216128 / 216128
GCD(307, 704) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 307, 704, 73, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 704, 73, 588?
GCD of 307, 704, 73, 588 is 1
2. Where do I get the detailed procedure to find GCD of 307, 704, 73, 588?
You can find a detailed procedure to find GCD of 307, 704, 73, 588 on our page.
3. How to find GCD of 307, 704, 73, 588 on a calculator?
You can find the GCD of 307, 704, 73, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.