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 315, 762, 440, 524 i.e. 1 largest integer that divides all the numbers equally.
GCD of 315, 762, 440, 524 is 1
GCD(315, 762, 440, 524) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 315, 762, 440, 524 is 1
GCD(315, 762, 440, 524) = 1
Given Input numbers are 315, 762, 440, 524
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 315
List of positive integer divisors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Greatest Common Divisior
We found the divisors of 315, 762, 440, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 762, 440, 524 is 1.
Therefore, GCD of numbers 315, 762, 440, 524 is 1
Given Input Data is 315, 762, 440, 524
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 315 is 3 x 3 x 5 x 7
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 524 is 2 x 2 x 131
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(315, 762) = 80010
GCD(315, 762) = ( 315 x 762 ) / 80010
GCD(315, 762) = 240030 / 80010
GCD(315, 762) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 440) = 1320
GCD(3, 440) = ( 3 x 440 ) / 1320
GCD(3, 440) = 1320 / 1320
GCD(3, 440) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 524
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 524) = 524
GCD(1, 524) = ( 1 x 524 ) / 524
GCD(1, 524) = 524 / 524
GCD(1, 524) = 1
GCD of 315, 762, 440, 524 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 315, 762, 440, 524?
GCD of 315, 762, 440, 524 is 1
2. Where do I get the detailed procedure to find GCD of 315, 762, 440, 524?
You can find a detailed procedure to find GCD of 315, 762, 440, 524 on our page.
3. How to find GCD of 315, 762, 440, 524 on a calculator?
You can find the GCD of 315, 762, 440, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.