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 874, 132, 371, 486 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 132, 371, 486 is 1
GCD(874, 132, 371, 486) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 132, 371, 486 is 1
GCD(874, 132, 371, 486) = 1
Given Input numbers are 874, 132, 371, 486
To find the GCD of numbers using factoring list out all the divisors of each number
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 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Greatest Common Divisior
We found the divisors of 874, 132, 371, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 132, 371, 486 is 1.
Therefore, GCD of numbers 874, 132, 371, 486 is 1
Given Input Data is 874, 132, 371, 486
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 371 is 7 x 53
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
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(874, 132) = 57684
GCD(874, 132) = ( 874 x 132 ) / 57684
GCD(874, 132) = 115368 / 57684
GCD(874, 132) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 371) = 742
GCD(2, 371) = ( 2 x 371 ) / 742
GCD(2, 371) = 742 / 742
GCD(2, 371) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 486
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 486) = 486
GCD(1, 486) = ( 1 x 486 ) / 486
GCD(1, 486) = 486 / 486
GCD(1, 486) = 1
GCD of 874, 132, 371, 486 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 132, 371, 486?
GCD of 874, 132, 371, 486 is 1
2. Where do I get the detailed procedure to find GCD of 874, 132, 371, 486?
You can find a detailed procedure to find GCD of 874, 132, 371, 486 on our page.
3. How to find GCD of 874, 132, 371, 486 on a calculator?
You can find the GCD of 874, 132, 371, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.