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 424, 975, 237, 682 i.e. 1 largest integer that divides all the numbers equally.
GCD of 424, 975, 237, 682 is 1
GCD(424, 975, 237, 682) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 975, 237, 682 is 1
GCD(424, 975, 237, 682) = 1
Given Input numbers are 424, 975, 237, 682
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Greatest Common Divisior
We found the divisors of 424, 975, 237, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 975, 237, 682 is 1.
Therefore, GCD of numbers 424, 975, 237, 682 is 1
Given Input Data is 424, 975, 237, 682
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 237 is 3 x 79
Prime Factorization of 682 is 2 x 11 x 31
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(424, 975) = 413400
GCD(424, 975) = ( 424 x 975 ) / 413400
GCD(424, 975) = 413400 / 413400
GCD(424, 975) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 237) = 237
GCD(1, 237) = ( 1 x 237 ) / 237
GCD(1, 237) = 237 / 237
GCD(1, 237) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 682) = 682
GCD(1, 682) = ( 1 x 682 ) / 682
GCD(1, 682) = 682 / 682
GCD(1, 682) = 1
GCD of 424, 975, 237, 682 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 975, 237, 682?
GCD of 424, 975, 237, 682 is 1
2. Where do I get the detailed procedure to find GCD of 424, 975, 237, 682?
You can find a detailed procedure to find GCD of 424, 975, 237, 682 on our page.
3. How to find GCD of 424, 975, 237, 682 on a calculator?
You can find the GCD of 424, 975, 237, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.