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 876, 862, 21, 376 i.e. 1 largest integer that divides all the numbers equally.
GCD of 876, 862, 21, 376 is 1
GCD(876, 862, 21, 376) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 876, 862, 21, 376 is 1
GCD(876, 862, 21, 376) = 1
Given Input numbers are 876, 862, 21, 376
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 876, 862, 21, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 876, 862, 21, 376 is 1.
Therefore, GCD of numbers 876, 862, 21, 376 is 1
Given Input Data is 876, 862, 21, 376
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 876 is 2 x 2 x 3 x 73
Prime Factorization of 862 is 2 x 431
Prime Factorization of 21 is 3 x 7
Prime Factorization of 376 is 2 x 2 x 2 x 47
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(876, 862) = 377556
GCD(876, 862) = ( 876 x 862 ) / 377556
GCD(876, 862) = 755112 / 377556
GCD(876, 862) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 21) = 42
GCD(2, 21) = ( 2 x 21 ) / 42
GCD(2, 21) = 42 / 42
GCD(2, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 376) = 376
GCD(1, 376) = ( 1 x 376 ) / 376
GCD(1, 376) = 376 / 376
GCD(1, 376) = 1
GCD of 876, 862, 21, 376 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 876, 862, 21, 376?
GCD of 876, 862, 21, 376 is 1
2. Where do I get the detailed procedure to find GCD of 876, 862, 21, 376?
You can find a detailed procedure to find GCD of 876, 862, 21, 376 on our page.
3. How to find GCD of 876, 862, 21, 376 on a calculator?
You can find the GCD of 876, 862, 21, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.