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 262, 718, 20, 703 i.e. 1 largest integer that divides all the numbers equally.
GCD of 262, 718, 20, 703 is 1
GCD(262, 718, 20, 703) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 718, 20, 703 is 1
GCD(262, 718, 20, 703) = 1
Given Input numbers are 262, 718, 20, 703
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Greatest Common Divisior
We found the divisors of 262, 718, 20, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 718, 20, 703 is 1.
Therefore, GCD of numbers 262, 718, 20, 703 is 1
Given Input Data is 262, 718, 20, 703
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 718 is 2 x 359
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 703 is 19 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(262, 718) = 94058
GCD(262, 718) = ( 262 x 718 ) / 94058
GCD(262, 718) = 188116 / 94058
GCD(262, 718) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 20
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 20) = 20
GCD(2, 20) = ( 2 x 20 ) / 20
GCD(2, 20) = 40 / 20
GCD(2, 20) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 703) = 1406
GCD(2, 703) = ( 2 x 703 ) / 1406
GCD(2, 703) = 1406 / 1406
GCD(2, 703) = 1
GCD of 262, 718, 20, 703 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 718, 20, 703?
GCD of 262, 718, 20, 703 is 1
2. Where do I get the detailed procedure to find GCD of 262, 718, 20, 703?
You can find a detailed procedure to find GCD of 262, 718, 20, 703 on our page.
3. How to find GCD of 262, 718, 20, 703 on a calculator?
You can find the GCD of 262, 718, 20, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.