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 299, 474, 67, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 299, 474, 67, 707 is 1
GCD(299, 474, 67, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 299, 474, 67, 707 is 1
GCD(299, 474, 67, 707) = 1
Given Input numbers are 299, 474, 67, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 299, 474, 67, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 474, 67, 707 is 1.
Therefore, GCD of numbers 299, 474, 67, 707 is 1
Given Input Data is 299, 474, 67, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 299 is 13 x 23
Prime Factorization of 474 is 2 x 3 x 79
Prime Factorization of 67 is 67
Prime Factorization of 707 is 7 x 101
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(299, 474) = 141726
GCD(299, 474) = ( 299 x 474 ) / 141726
GCD(299, 474) = 141726 / 141726
GCD(299, 474) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 299, 474, 67, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 299, 474, 67, 707?
GCD of 299, 474, 67, 707 is 1
2. Where do I get the detailed procedure to find GCD of 299, 474, 67, 707?
You can find a detailed procedure to find GCD of 299, 474, 67, 707 on our page.
3. How to find GCD of 299, 474, 67, 707 on a calculator?
You can find the GCD of 299, 474, 67, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.