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 66, 473, 874, 124 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 473, 874, 124 is 1
GCD(66, 473, 874, 124) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 473, 874, 124 is 1
GCD(66, 473, 874, 124) = 1
Given Input numbers are 66, 473, 874, 124
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Greatest Common Divisior
We found the divisors of 66, 473, 874, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 473, 874, 124 is 1.
Therefore, GCD of numbers 66, 473, 874, 124 is 1
Given Input Data is 66, 473, 874, 124
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 473 is 11 x 43
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 124 is 2 x 2 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(66, 473) = 2838
GCD(66, 473) = ( 66 x 473 ) / 2838
GCD(66, 473) = 31218 / 2838
GCD(66, 473) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 874) = 9614
GCD(11, 874) = ( 11 x 874 ) / 9614
GCD(11, 874) = 9614 / 9614
GCD(11, 874) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 124
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 124) = 124
GCD(1, 124) = ( 1 x 124 ) / 124
GCD(1, 124) = 124 / 124
GCD(1, 124) = 1
GCD of 66, 473, 874, 124 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 473, 874, 124?
GCD of 66, 473, 874, 124 is 1
2. Where do I get the detailed procedure to find GCD of 66, 473, 874, 124?
You can find a detailed procedure to find GCD of 66, 473, 874, 124 on our page.
3. How to find GCD of 66, 473, 874, 124 on a calculator?
You can find the GCD of 66, 473, 874, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.