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 169, 708, 15, 263 i.e. 1 largest integer that divides all the numbers equally.
GCD of 169, 708, 15, 263 is 1
GCD(169, 708, 15, 263) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 169, 708, 15, 263 is 1
GCD(169, 708, 15, 263) = 1
Given Input numbers are 169, 708, 15, 263
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 708
List of positive integer divisors of 708 that divides 708 without a remainder.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 263
List of positive integer divisors of 263 that divides 263 without a remainder.
1, 263
Greatest Common Divisior
We found the divisors of 169, 708, 15, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 708, 15, 263 is 1.
Therefore, GCD of numbers 169, 708, 15, 263 is 1
Given Input Data is 169, 708, 15, 263
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 169 is 13 x 13
Prime Factorization of 708 is 2 x 2 x 3 x 59
Prime Factorization of 15 is 3 x 5
Prime Factorization of 263 is 263
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(169, 708) = 119652
GCD(169, 708) = ( 169 x 708 ) / 119652
GCD(169, 708) = 119652 / 119652
GCD(169, 708) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 263
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 263) = 263
GCD(1, 263) = ( 1 x 263 ) / 263
GCD(1, 263) = 263 / 263
GCD(1, 263) = 1
GCD of 169, 708, 15, 263 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 169, 708, 15, 263?
GCD of 169, 708, 15, 263 is 1
2. Where do I get the detailed procedure to find GCD of 169, 708, 15, 263?
You can find a detailed procedure to find GCD of 169, 708, 15, 263 on our page.
3. How to find GCD of 169, 708, 15, 263 on a calculator?
You can find the GCD of 169, 708, 15, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.