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 848, 976, 133, 476 i.e. 1 largest integer that divides all the numbers equally.
GCD of 848, 976, 133, 476 is 1
GCD(848, 976, 133, 476) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 976, 133, 476 is 1
GCD(848, 976, 133, 476) = 1
Given Input numbers are 848, 976, 133, 476
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Greatest Common Divisior
We found the divisors of 848, 976, 133, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 976, 133, 476 is 1.
Therefore, GCD of numbers 848, 976, 133, 476 is 1
Given Input Data is 848, 976, 133, 476
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 133 is 7 x 19
Prime Factorization of 476 is 2 x 2 x 7 x 17
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(848, 976) = 51728
GCD(848, 976) = ( 848 x 976 ) / 51728
GCD(848, 976) = 827648 / 51728
GCD(848, 976) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 133) = 2128
GCD(16, 133) = ( 16 x 133 ) / 2128
GCD(16, 133) = 2128 / 2128
GCD(16, 133) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 476
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 476) = 476
GCD(1, 476) = ( 1 x 476 ) / 476
GCD(1, 476) = 476 / 476
GCD(1, 476) = 1
GCD of 848, 976, 133, 476 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 976, 133, 476?
GCD of 848, 976, 133, 476 is 1
2. Where do I get the detailed procedure to find GCD of 848, 976, 133, 476?
You can find a detailed procedure to find GCD of 848, 976, 133, 476 on our page.
3. How to find GCD of 848, 976, 133, 476 on a calculator?
You can find the GCD of 848, 976, 133, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.