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 287, 340, 755, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 287, 340, 755, 624 is 1
GCD(287, 340, 755, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 287, 340, 755, 624 is 1
GCD(287, 340, 755, 624) = 1
Given Input numbers are 287, 340, 755, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 287
List of positive integer divisors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Greatest Common Divisior
We found the divisors of 287, 340, 755, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 287, 340, 755, 624 is 1.
Therefore, GCD of numbers 287, 340, 755, 624 is 1
Given Input Data is 287, 340, 755, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 287 is 7 x 41
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 755 is 5 x 151
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
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(287, 340) = 97580
GCD(287, 340) = ( 287 x 340 ) / 97580
GCD(287, 340) = 97580 / 97580
GCD(287, 340) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
GCD(1, 755) = 755 / 755
GCD(1, 755) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
GCD of 287, 340, 755, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 287, 340, 755, 624?
GCD of 287, 340, 755, 624 is 1
2. Where do I get the detailed procedure to find GCD of 287, 340, 755, 624?
You can find a detailed procedure to find GCD of 287, 340, 755, 624 on our page.
3. How to find GCD of 287, 340, 755, 624 on a calculator?
You can find the GCD of 287, 340, 755, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.