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 520, 346, 194, 169 i.e. 1 largest integer that divides all the numbers equally.
GCD of 520, 346, 194, 169 is 1
GCD(520, 346, 194, 169) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 520, 346, 194, 169 is 1
GCD(520, 346, 194, 169) = 1
Given Input numbers are 520, 346, 194, 169
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 520
List of positive integer divisors of 520 that divides 520 without a remainder.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Greatest Common Divisior
We found the divisors of 520, 346, 194, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 346, 194, 169 is 1.
Therefore, GCD of numbers 520, 346, 194, 169 is 1
Given Input Data is 520, 346, 194, 169
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13
Prime Factorization of 346 is 2 x 173
Prime Factorization of 194 is 2 x 97
Prime Factorization of 169 is 13 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(520, 346) = 89960
GCD(520, 346) = ( 520 x 346 ) / 89960
GCD(520, 346) = 179920 / 89960
GCD(520, 346) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 194
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 194) = 194
GCD(2, 194) = ( 2 x 194 ) / 194
GCD(2, 194) = 388 / 194
GCD(2, 194) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 169) = 338
GCD(2, 169) = ( 2 x 169 ) / 338
GCD(2, 169) = 338 / 338
GCD(2, 169) = 1
GCD of 520, 346, 194, 169 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 520, 346, 194, 169?
GCD of 520, 346, 194, 169 is 1
2. Where do I get the detailed procedure to find GCD of 520, 346, 194, 169?
You can find a detailed procedure to find GCD of 520, 346, 194, 169 on our page.
3. How to find GCD of 520, 346, 194, 169 on a calculator?
You can find the GCD of 520, 346, 194, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.