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 307, 658, 403, 277 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 658, 403, 277 is 1
GCD(307, 658, 403, 277) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 658, 403, 277 is 1
GCD(307, 658, 403, 277) = 1
Given Input numbers are 307, 658, 403, 277
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Divisors of 277
List of positive integer divisors of 277 that divides 277 without a remainder.
1, 277
Greatest Common Divisior
We found the divisors of 307, 658, 403, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 658, 403, 277 is 1.
Therefore, GCD of numbers 307, 658, 403, 277 is 1
Given Input Data is 307, 658, 403, 277
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 403 is 13 x 31
Prime Factorization of 277 is 277
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(307, 658) = 202006
GCD(307, 658) = ( 307 x 658 ) / 202006
GCD(307, 658) = 202006 / 202006
GCD(307, 658) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 403) = 403
GCD(1, 403) = ( 1 x 403 ) / 403
GCD(1, 403) = 403 / 403
GCD(1, 403) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 277
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 277) = 277
GCD(1, 277) = ( 1 x 277 ) / 277
GCD(1, 277) = 277 / 277
GCD(1, 277) = 1
GCD of 307, 658, 403, 277 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 658, 403, 277?
GCD of 307, 658, 403, 277 is 1
2. Where do I get the detailed procedure to find GCD of 307, 658, 403, 277?
You can find a detailed procedure to find GCD of 307, 658, 403, 277 on our page.
3. How to find GCD of 307, 658, 403, 277 on a calculator?
You can find the GCD of 307, 658, 403, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.