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 699, 742, 73, 416 i.e. 1 largest integer that divides all the numbers equally.
GCD of 699, 742, 73, 416 is 1
GCD(699, 742, 73, 416) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 699, 742, 73, 416 is 1
GCD(699, 742, 73, 416) = 1
Given Input numbers are 699, 742, 73, 416
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 416
List of positive integer divisors of 416 that divides 416 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
Greatest Common Divisior
We found the divisors of 699, 742, 73, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 742, 73, 416 is 1.
Therefore, GCD of numbers 699, 742, 73, 416 is 1
Given Input Data is 699, 742, 73, 416
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 699 is 3 x 233
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 73 is 73
Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 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(699, 742) = 518658
GCD(699, 742) = ( 699 x 742 ) / 518658
GCD(699, 742) = 518658 / 518658
GCD(699, 742) = 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 416
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 416) = 416
GCD(1, 416) = ( 1 x 416 ) / 416
GCD(1, 416) = 416 / 416
GCD(1, 416) = 1
GCD of 699, 742, 73, 416 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 699, 742, 73, 416?
GCD of 699, 742, 73, 416 is 1
2. Where do I get the detailed procedure to find GCD of 699, 742, 73, 416?
You can find a detailed procedure to find GCD of 699, 742, 73, 416 on our page.
3. How to find GCD of 699, 742, 73, 416 on a calculator?
You can find the GCD of 699, 742, 73, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.