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 160, 710, 813, 640 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 710, 813, 640 is 1
GCD(160, 710, 813, 640) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 710, 813, 640 is 1
GCD(160, 710, 813, 640) = 1
Given Input numbers are 160, 710, 813, 640
To find the GCD of numbers using factoring list out all the divisors of each number
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 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Greatest Common Divisior
We found the divisors of 160, 710, 813, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 710, 813, 640 is 1.
Therefore, GCD of numbers 160, 710, 813, 640 is 1
Given Input Data is 160, 710, 813, 640
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 813 is 3 x 271
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
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(160, 710) = 11360
GCD(160, 710) = ( 160 x 710 ) / 11360
GCD(160, 710) = 113600 / 11360
GCD(160, 710) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 813
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 813) = 8130
GCD(10, 813) = ( 10 x 813 ) / 8130
GCD(10, 813) = 8130 / 8130
GCD(10, 813) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 640) = 640
GCD(1, 640) = ( 1 x 640 ) / 640
GCD(1, 640) = 640 / 640
GCD(1, 640) = 1
GCD of 160, 710, 813, 640 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 710, 813, 640?
GCD of 160, 710, 813, 640 is 1
2. Where do I get the detailed procedure to find GCD of 160, 710, 813, 640?
You can find a detailed procedure to find GCD of 160, 710, 813, 640 on our page.
3. How to find GCD of 160, 710, 813, 640 on a calculator?
You can find the GCD of 160, 710, 813, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.