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 277, 702, 517, 579 i.e. 1 largest integer that divides all the numbers equally.
GCD of 277, 702, 517, 579 is 1
GCD(277, 702, 517, 579) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 277, 702, 517, 579 is 1
GCD(277, 702, 517, 579) = 1
Given Input numbers are 277, 702, 517, 579
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 579
List of positive integer divisors of 579 that divides 579 without a remainder.
1, 3, 193, 579
Greatest Common Divisior
We found the divisors of 277, 702, 517, 579 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 702, 517, 579 is 1.
Therefore, GCD of numbers 277, 702, 517, 579 is 1
Given Input Data is 277, 702, 517, 579
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 277 is 277
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 517 is 11 x 47
Prime Factorization of 579 is 3 x 193
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(277, 702) = 194454
GCD(277, 702) = ( 277 x 702 ) / 194454
GCD(277, 702) = 194454 / 194454
GCD(277, 702) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
GCD(1, 517) = 517 / 517
GCD(1, 517) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 579
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 579) = 579
GCD(1, 579) = ( 1 x 579 ) / 579
GCD(1, 579) = 579 / 579
GCD(1, 579) = 1
GCD of 277, 702, 517, 579 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 277, 702, 517, 579?
GCD of 277, 702, 517, 579 is 1
2. Where do I get the detailed procedure to find GCD of 277, 702, 517, 579?
You can find a detailed procedure to find GCD of 277, 702, 517, 579 on our page.
3. How to find GCD of 277, 702, 517, 579 on a calculator?
You can find the GCD of 277, 702, 517, 579 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.