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 840, 531, 46, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 840, 531, 46, 372 is 1
GCD(840, 531, 46, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 840, 531, 46, 372 is 1
GCD(840, 531, 46, 372) = 1
Given Input numbers are 840, 531, 46, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Greatest Common Divisior
We found the divisors of 840, 531, 46, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 840, 531, 46, 372 is 1.
Therefore, GCD of numbers 840, 531, 46, 372 is 1
Given Input Data is 840, 531, 46, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 46 is 2 x 23
Prime Factorization of 372 is 2 x 2 x 3 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(840, 531) = 148680
GCD(840, 531) = ( 840 x 531 ) / 148680
GCD(840, 531) = 446040 / 148680
GCD(840, 531) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 46) = 138
GCD(3, 46) = ( 3 x 46 ) / 138
GCD(3, 46) = 138 / 138
GCD(3, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
GCD of 840, 531, 46, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 840, 531, 46, 372?
GCD of 840, 531, 46, 372 is 1
2. Where do I get the detailed procedure to find GCD of 840, 531, 46, 372?
You can find a detailed procedure to find GCD of 840, 531, 46, 372 on our page.
3. How to find GCD of 840, 531, 46, 372 on a calculator?
You can find the GCD of 840, 531, 46, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.