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 176, 196, 51, 826 i.e. 1 largest integer that divides all the numbers equally.
GCD of 176, 196, 51, 826 is 1
GCD(176, 196, 51, 826) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 176, 196, 51, 826 is 1
GCD(176, 196, 51, 826) = 1
Given Input numbers are 176, 196, 51, 826
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Greatest Common Divisior
We found the divisors of 176, 196, 51, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 196, 51, 826 is 1.
Therefore, GCD of numbers 176, 196, 51, 826 is 1
Given Input Data is 176, 196, 51, 826
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 51 is 3 x 17
Prime Factorization of 826 is 2 x 7 x 59
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(176, 196) = 8624
GCD(176, 196) = ( 176 x 196 ) / 8624
GCD(176, 196) = 34496 / 8624
GCD(176, 196) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 51) = 204
GCD(4, 51) = ( 4 x 51 ) / 204
GCD(4, 51) = 204 / 204
GCD(4, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 826
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 826) = 826
GCD(1, 826) = ( 1 x 826 ) / 826
GCD(1, 826) = 826 / 826
GCD(1, 826) = 1
GCD of 176, 196, 51, 826 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 176, 196, 51, 826?
GCD of 176, 196, 51, 826 is 1
2. Where do I get the detailed procedure to find GCD of 176, 196, 51, 826?
You can find a detailed procedure to find GCD of 176, 196, 51, 826 on our page.
3. How to find GCD of 176, 196, 51, 826 on a calculator?
You can find the GCD of 176, 196, 51, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.