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 62, 713, 160, 999 i.e. 1 largest integer that divides all the numbers equally.
GCD of 62, 713, 160, 999 is 1
GCD(62, 713, 160, 999) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 62, 713, 160, 999 is 1
GCD(62, 713, 160, 999) = 1
Given Input numbers are 62, 713, 160, 999
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Greatest Common Divisior
We found the divisors of 62, 713, 160, 999 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 713, 160, 999 is 1.
Therefore, GCD of numbers 62, 713, 160, 999 is 1
Given Input Data is 62, 713, 160, 999
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 62 is 2 x 31
Prime Factorization of 713 is 23 x 31
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 999 is 3 x 3 x 3 x 37
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(62, 713) = 1426
GCD(62, 713) = ( 62 x 713 ) / 1426
GCD(62, 713) = 44206 / 1426
GCD(62, 713) = 31
Step2:
Here we consider the GCD from the above i.e. 31 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(31, 160) = 4960
GCD(31, 160) = ( 31 x 160 ) / 4960
GCD(31, 160) = 4960 / 4960
GCD(31, 160) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 999) = 999
GCD(1, 999) = ( 1 x 999 ) / 999
GCD(1, 999) = 999 / 999
GCD(1, 999) = 1
GCD of 62, 713, 160, 999 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 62, 713, 160, 999?
GCD of 62, 713, 160, 999 is 1
2. Where do I get the detailed procedure to find GCD of 62, 713, 160, 999?
You can find a detailed procedure to find GCD of 62, 713, 160, 999 on our page.
3. How to find GCD of 62, 713, 160, 999 on a calculator?
You can find the GCD of 62, 713, 160, 999 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.