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 927, 137, 49, 348 i.e. 1 largest integer that divides all the numbers equally.
GCD of 927, 137, 49, 348 is 1
GCD(927, 137, 49, 348) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 927, 137, 49, 348 is 1
GCD(927, 137, 49, 348) = 1
Given Input numbers are 927, 137, 49, 348
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Greatest Common Divisior
We found the divisors of 927, 137, 49, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 927, 137, 49, 348 is 1.
Therefore, GCD of numbers 927, 137, 49, 348 is 1
Given Input Data is 927, 137, 49, 348
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 927 is 3 x 3 x 103
Prime Factorization of 137 is 137
Prime Factorization of 49 is 7 x 7
Prime Factorization of 348 is 2 x 2 x 3 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(927, 137) = 126999
GCD(927, 137) = ( 927 x 137 ) / 126999
GCD(927, 137) = 126999 / 126999
GCD(927, 137) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 348
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 348) = 348
GCD(1, 348) = ( 1 x 348 ) / 348
GCD(1, 348) = 348 / 348
GCD(1, 348) = 1
GCD of 927, 137, 49, 348 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 927, 137, 49, 348?
GCD of 927, 137, 49, 348 is 1
2. Where do I get the detailed procedure to find GCD of 927, 137, 49, 348?
You can find a detailed procedure to find GCD of 927, 137, 49, 348 on our page.
3. How to find GCD of 927, 137, 49, 348 on a calculator?
You can find the GCD of 927, 137, 49, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.