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 271, 377, 786, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 271, 377, 786, 675 is 1
GCD(271, 377, 786, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 271, 377, 786, 675 is 1
GCD(271, 377, 786, 675) = 1
Given Input numbers are 271, 377, 786, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 786
List of positive integer divisors of 786 that divides 786 without a remainder.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 271, 377, 786, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 377, 786, 675 is 1.
Therefore, GCD of numbers 271, 377, 786, 675 is 1
Given Input Data is 271, 377, 786, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 271 is 271
Prime Factorization of 377 is 13 x 29
Prime Factorization of 786 is 2 x 3 x 131
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
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(271, 377) = 102167
GCD(271, 377) = ( 271 x 377 ) / 102167
GCD(271, 377) = 102167 / 102167
GCD(271, 377) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 786
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 786) = 786
GCD(1, 786) = ( 1 x 786 ) / 786
GCD(1, 786) = 786 / 786
GCD(1, 786) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 271, 377, 786, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 271, 377, 786, 675?
GCD of 271, 377, 786, 675 is 1
2. Where do I get the detailed procedure to find GCD of 271, 377, 786, 675?
You can find a detailed procedure to find GCD of 271, 377, 786, 675 on our page.
3. How to find GCD of 271, 377, 786, 675 on a calculator?
You can find the GCD of 271, 377, 786, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.