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 60, 107, 764, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 107, 764, 283 is 1
GCD(60, 107, 764, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 107, 764, 283 is 1
GCD(60, 107, 764, 283) = 1
Given Input numbers are 60, 107, 764, 283
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 107
List of positive integer divisors of 107 that divides 107 without a remainder.
1, 107
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 60, 107, 764, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 107, 764, 283 is 1.
Therefore, GCD of numbers 60, 107, 764, 283 is 1
Given Input Data is 60, 107, 764, 283
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 107 is 107
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 283 is 283
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(60, 107) = 6420
GCD(60, 107) = ( 60 x 107 ) / 6420
GCD(60, 107) = 6420 / 6420
GCD(60, 107) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
GCD(1, 764) = 764 / 764
GCD(1, 764) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 283) = 283
GCD(1, 283) = ( 1 x 283 ) / 283
GCD(1, 283) = 283 / 283
GCD(1, 283) = 1
GCD of 60, 107, 764, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 107, 764, 283?
GCD of 60, 107, 764, 283 is 1
2. Where do I get the detailed procedure to find GCD of 60, 107, 764, 283?
You can find a detailed procedure to find GCD of 60, 107, 764, 283 on our page.
3. How to find GCD of 60, 107, 764, 283 on a calculator?
You can find the GCD of 60, 107, 764, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.