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, 707, 496, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 707, 496, 299 is 1
GCD(307, 707, 496, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 707, 496, 299 is 1
GCD(307, 707, 496, 299) = 1
Given Input numbers are 307, 707, 496, 299
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 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 307, 707, 496, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 707, 496, 299 is 1.
Therefore, GCD of numbers 307, 707, 496, 299 is 1
Given Input Data is 307, 707, 496, 299
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 707 is 7 x 101
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 299 is 13 x 23
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, 707) = 217049
GCD(307, 707) = ( 307 x 707 ) / 217049
GCD(307, 707) = 217049 / 217049
GCD(307, 707) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 496) = 496
GCD(1, 496) = ( 1 x 496 ) / 496
GCD(1, 496) = 496 / 496
GCD(1, 496) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
GCD(1, 299) = 299 / 299
GCD(1, 299) = 1
GCD of 307, 707, 496, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 707, 496, 299?
GCD of 307, 707, 496, 299 is 1
2. Where do I get the detailed procedure to find GCD of 307, 707, 496, 299?
You can find a detailed procedure to find GCD of 307, 707, 496, 299 on our page.
3. How to find GCD of 307, 707, 496, 299 on a calculator?
You can find the GCD of 307, 707, 496, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.