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 113, 765, 483, 274 i.e. 1 largest integer that divides all the numbers equally.
GCD of 113, 765, 483, 274 is 1
GCD(113, 765, 483, 274) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 113, 765, 483, 274 is 1
GCD(113, 765, 483, 274) = 1
Given Input numbers are 113, 765, 483, 274
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 113
List of positive integer divisors of 113 that divides 113 without a remainder.
1, 113
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Greatest Common Divisior
We found the divisors of 113, 765, 483, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 765, 483, 274 is 1.
Therefore, GCD of numbers 113, 765, 483, 274 is 1
Given Input Data is 113, 765, 483, 274
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 113 is 113
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 274 is 2 x 137
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(113, 765) = 86445
GCD(113, 765) = ( 113 x 765 ) / 86445
GCD(113, 765) = 86445 / 86445
GCD(113, 765) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 483
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 483) = 483
GCD(1, 483) = ( 1 x 483 ) / 483
GCD(1, 483) = 483 / 483
GCD(1, 483) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 274
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 274) = 274
GCD(1, 274) = ( 1 x 274 ) / 274
GCD(1, 274) = 274 / 274
GCD(1, 274) = 1
GCD of 113, 765, 483, 274 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 113, 765, 483, 274?
GCD of 113, 765, 483, 274 is 1
2. Where do I get the detailed procedure to find GCD of 113, 765, 483, 274?
You can find a detailed procedure to find GCD of 113, 765, 483, 274 on our page.
3. How to find GCD of 113, 765, 483, 274 on a calculator?
You can find the GCD of 113, 765, 483, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.