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 86, 349, 742, 209 i.e. 1 largest integer that divides all the numbers equally.
GCD of 86, 349, 742, 209 is 1
GCD(86, 349, 742, 209) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 86, 349, 742, 209 is 1
GCD(86, 349, 742, 209) = 1
Given Input numbers are 86, 349, 742, 209
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Greatest Common Divisior
We found the divisors of 86, 349, 742, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 86, 349, 742, 209 is 1.
Therefore, GCD of numbers 86, 349, 742, 209 is 1
Given Input Data is 86, 349, 742, 209
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 86 is 2 x 43
Prime Factorization of 349 is 349
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 209 is 11 x 19
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(86, 349) = 30014
GCD(86, 349) = ( 86 x 349 ) / 30014
GCD(86, 349) = 30014 / 30014
GCD(86, 349) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 209) = 209
GCD(1, 209) = ( 1 x 209 ) / 209
GCD(1, 209) = 209 / 209
GCD(1, 209) = 1
GCD of 86, 349, 742, 209 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 86, 349, 742, 209?
GCD of 86, 349, 742, 209 is 1
2. Where do I get the detailed procedure to find GCD of 86, 349, 742, 209?
You can find a detailed procedure to find GCD of 86, 349, 742, 209 on our page.
3. How to find GCD of 86, 349, 742, 209 on a calculator?
You can find the GCD of 86, 349, 742, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.