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 676, 101, 209, 474 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 101, 209, 474 is 1
GCD(676, 101, 209, 474) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 101, 209, 474 is 1
GCD(676, 101, 209, 474) = 1
Given Input numbers are 676, 101, 209, 474
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 474
List of positive integer divisors of 474 that divides 474 without a remainder.
1, 2, 3, 6, 79, 158, 237, 474
Greatest Common Divisior
We found the divisors of 676, 101, 209, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 101, 209, 474 is 1.
Therefore, GCD of numbers 676, 101, 209, 474 is 1
Given Input Data is 676, 101, 209, 474
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 101 is 101
Prime Factorization of 209 is 11 x 19
Prime Factorization of 474 is 2 x 3 x 79
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(676, 101) = 68276
GCD(676, 101) = ( 676 x 101 ) / 68276
GCD(676, 101) = 68276 / 68276
GCD(676, 101) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 209) = 209
GCD(1, 209) = ( 1 x 209 ) / 209
GCD(1, 209) = 209 / 209
GCD(1, 209) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 474
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 474) = 474
GCD(1, 474) = ( 1 x 474 ) / 474
GCD(1, 474) = 474 / 474
GCD(1, 474) = 1
GCD of 676, 101, 209, 474 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 101, 209, 474?
GCD of 676, 101, 209, 474 is 1
2. Where do I get the detailed procedure to find GCD of 676, 101, 209, 474?
You can find a detailed procedure to find GCD of 676, 101, 209, 474 on our page.
3. How to find GCD of 676, 101, 209, 474 on a calculator?
You can find the GCD of 676, 101, 209, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.