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 380, 448, 909, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 380, 448, 909, 874 is 1
GCD(380, 448, 909, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 380, 448, 909, 874 is 1
GCD(380, 448, 909, 874) = 1
Given Input numbers are 380, 448, 909, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 380, 448, 909, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 448, 909, 874 is 1.
Therefore, GCD of numbers 380, 448, 909, 874 is 1
Given Input Data is 380, 448, 909, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 909 is 3 x 3 x 101
Prime Factorization of 874 is 2 x 19 x 23
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(380, 448) = 42560
GCD(380, 448) = ( 380 x 448 ) / 42560
GCD(380, 448) = 170240 / 42560
GCD(380, 448) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 909
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 909) = 3636
GCD(4, 909) = ( 4 x 909 ) / 3636
GCD(4, 909) = 3636 / 3636
GCD(4, 909) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 380, 448, 909, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 380, 448, 909, 874?
GCD of 380, 448, 909, 874 is 1
2. Where do I get the detailed procedure to find GCD of 380, 448, 909, 874?
You can find a detailed procedure to find GCD of 380, 448, 909, 874 on our page.
3. How to find GCD of 380, 448, 909, 874 on a calculator?
You can find the GCD of 380, 448, 909, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.