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 437, 546, 524, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 437, 546, 524, 874 is 1
GCD(437, 546, 524, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 437, 546, 524, 874 is 1
GCD(437, 546, 524, 874) = 1
Given Input numbers are 437, 546, 524, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 524
List of positive integer divisors of 524 that divides 524 without a remainder.
1, 2, 4, 131, 262, 524
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 437, 546, 524, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 546, 524, 874 is 1.
Therefore, GCD of numbers 437, 546, 524, 874 is 1
Given Input Data is 437, 546, 524, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 437 is 19 x 23
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 524 is 2 x 2 x 131
Prime Factorization of 874 is 2 x 19 x 23
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(437, 546) = 238602
GCD(437, 546) = ( 437 x 546 ) / 238602
GCD(437, 546) = 238602 / 238602
GCD(437, 546) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 437, 546, 524, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 437, 546, 524, 874?
GCD of 437, 546, 524, 874 is 1
2. Where do I get the detailed procedure to find GCD of 437, 546, 524, 874?
You can find a detailed procedure to find GCD of 437, 546, 524, 874 on our page.
3. How to find GCD of 437, 546, 524, 874 on a calculator?
You can find the GCD of 437, 546, 524, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.