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 310, 284, 757 i.e. 1 largest integer that divides all the numbers equally.
GCD of 310, 284, 757 is 1
GCD(310, 284, 757) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 310, 284, 757 is 1
GCD(310, 284, 757) = 1
Given Input numbers are 310, 284, 757
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Greatest Common Divisior
We found the divisors of 310, 284, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 284, 757 is 1.
Therefore, GCD of numbers 310, 284, 757 is 1
Given Input Data is 310, 284, 757
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 757 is 757
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(310, 284) = 44020
GCD(310, 284) = ( 310 x 284 ) / 44020
GCD(310, 284) = 88040 / 44020
GCD(310, 284) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 757
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 757) = 1514
GCD(2, 757) = ( 2 x 757 ) / 1514
GCD(2, 757) = 1514 / 1514
GCD(2, 757) = 1
GCD of 310, 284, 757 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 310, 284, 757?
GCD of 310, 284, 757 is 1
2. Where do I get the detailed procedure to find GCD of 310, 284, 757?
You can find a detailed procedure to find GCD of 310, 284, 757 on our page.
3. How to find GCD of 310, 284, 757 on a calculator?
You can find the GCD of 310, 284, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.