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 133, 491, 846, 112 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 491, 846, 112 is 1
GCD(133, 491, 846, 112) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 491, 846, 112 is 1
GCD(133, 491, 846, 112) = 1
Given Input numbers are 133, 491, 846, 112
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Greatest Common Divisior
We found the divisors of 133, 491, 846, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 491, 846, 112 is 1.
Therefore, GCD of numbers 133, 491, 846, 112 is 1
Given Input Data is 133, 491, 846, 112
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 491 is 491
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
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(133, 491) = 65303
GCD(133, 491) = ( 133 x 491 ) / 65303
GCD(133, 491) = 65303 / 65303
GCD(133, 491) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
GCD of 133, 491, 846, 112 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 491, 846, 112?
GCD of 133, 491, 846, 112 is 1
2. Where do I get the detailed procedure to find GCD of 133, 491, 846, 112?
You can find a detailed procedure to find GCD of 133, 491, 846, 112 on our page.
3. How to find GCD of 133, 491, 846, 112 on a calculator?
You can find the GCD of 133, 491, 846, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.