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 275, 539, 65, 894 i.e. 1 largest integer that divides all the numbers equally.
GCD of 275, 539, 65, 894 is 1
GCD(275, 539, 65, 894) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 275, 539, 65, 894 is 1
GCD(275, 539, 65, 894) = 1
Given Input numbers are 275, 539, 65, 894
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 275
List of positive integer divisors of 275 that divides 275 without a remainder.
1, 5, 11, 25, 55, 275
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 275, 539, 65, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 275, 539, 65, 894 is 1.
Therefore, GCD of numbers 275, 539, 65, 894 is 1
Given Input Data is 275, 539, 65, 894
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 275 is 5 x 5 x 11
Prime Factorization of 539 is 7 x 7 x 11
Prime Factorization of 65 is 5 x 13
Prime Factorization of 894 is 2 x 3 x 149
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(275, 539) = 13475
GCD(275, 539) = ( 275 x 539 ) / 13475
GCD(275, 539) = 148225 / 13475
GCD(275, 539) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 65) = 715
GCD(11, 65) = ( 11 x 65 ) / 715
GCD(11, 65) = 715 / 715
GCD(11, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
GCD of 275, 539, 65, 894 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 275, 539, 65, 894?
GCD of 275, 539, 65, 894 is 1
2. Where do I get the detailed procedure to find GCD of 275, 539, 65, 894?
You can find a detailed procedure to find GCD of 275, 539, 65, 894 on our page.
3. How to find GCD of 275, 539, 65, 894 on a calculator?
You can find the GCD of 275, 539, 65, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.