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, 309, 86, 987 i.e. 1 largest integer that divides all the numbers equally.
GCD of 277, 309, 86, 987 is 1
GCD(277, 309, 86, 987) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 277, 309, 86, 987 is 1
GCD(277, 309, 86, 987) = 1
Given Input numbers are 277, 309, 86, 987
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 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 277, 309, 86, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 277, 309, 86, 987 is 1.
Therefore, GCD of numbers 277, 309, 86, 987 is 1
Given Input Data is 277, 309, 86, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 277 is 277
Prime Factorization of 309 is 3 x 103
Prime Factorization of 86 is 2 x 43
Prime Factorization of 987 is 3 x 7 x 47
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, 309) = 85593
GCD(277, 309) = ( 277 x 309 ) / 85593
GCD(277, 309) = 85593 / 85593
GCD(277, 309) = 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 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
GCD(1, 987) = 987 / 987
GCD(1, 987) = 1
GCD of 277, 309, 86, 987 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 277, 309, 86, 987?
GCD of 277, 309, 86, 987 is 1
2. Where do I get the detailed procedure to find GCD of 277, 309, 86, 987?
You can find a detailed procedure to find GCD of 277, 309, 86, 987 on our page.
3. How to find GCD of 277, 309, 86, 987 on a calculator?
You can find the GCD of 277, 309, 86, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.