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, 509, 29, 158 i.e. 1 largest integer that divides all the numbers equally.
GCD of 277, 509, 29, 158 is 1
GCD(277, 509, 29, 158) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 277, 509, 29, 158 is 1
GCD(277, 509, 29, 158) = 1
Given Input numbers are 277, 509, 29, 158
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 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Greatest Common Divisior
We found the divisors of 277, 509, 29, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 509, 29, 158 is 1.
Therefore, GCD of numbers 277, 509, 29, 158 is 1
Given Input Data is 277, 509, 29, 158
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 277 is 277
Prime Factorization of 509 is 509
Prime Factorization of 29 is 29
Prime Factorization of 158 is 2 x 79
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, 509) = 140993
GCD(277, 509) = ( 277 x 509 ) / 140993
GCD(277, 509) = 140993 / 140993
GCD(277, 509) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 29) = 29
GCD(1, 29) = ( 1 x 29 ) / 29
GCD(1, 29) = 29 / 29
GCD(1, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 158) = 158
GCD(1, 158) = ( 1 x 158 ) / 158
GCD(1, 158) = 158 / 158
GCD(1, 158) = 1
GCD of 277, 509, 29, 158 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 277, 509, 29, 158?
GCD of 277, 509, 29, 158 is 1
2. Where do I get the detailed procedure to find GCD of 277, 509, 29, 158?
You can find a detailed procedure to find GCD of 277, 509, 29, 158 on our page.
3. How to find GCD of 277, 509, 29, 158 on a calculator?
You can find the GCD of 277, 509, 29, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.