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 509, 294, 86, 377 i.e. 1 largest integer that divides all the numbers equally.
GCD of 509, 294, 86, 377 is 1
GCD(509, 294, 86, 377) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 509, 294, 86, 377 is 1
GCD(509, 294, 86, 377) = 1
Given Input numbers are 509, 294, 86, 377
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Greatest Common Divisior
We found the divisors of 509, 294, 86, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 294, 86, 377 is 1.
Therefore, GCD of numbers 509, 294, 86, 377 is 1
Given Input Data is 509, 294, 86, 377
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 509 is 509
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 86 is 2 x 43
Prime Factorization of 377 is 13 x 29
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(509, 294) = 149646
GCD(509, 294) = ( 509 x 294 ) / 149646
GCD(509, 294) = 149646 / 149646
GCD(509, 294) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 377) = 377
GCD(1, 377) = ( 1 x 377 ) / 377
GCD(1, 377) = 377 / 377
GCD(1, 377) = 1
GCD of 509, 294, 86, 377 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 509, 294, 86, 377?
GCD of 509, 294, 86, 377 is 1
2. Where do I get the detailed procedure to find GCD of 509, 294, 86, 377?
You can find a detailed procedure to find GCD of 509, 294, 86, 377 on our page.
3. How to find GCD of 509, 294, 86, 377 on a calculator?
You can find the GCD of 509, 294, 86, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.