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 442, 435, 870, 963 i.e. 1 largest integer that divides all the numbers equally.
GCD of 442, 435, 870, 963 is 1
GCD(442, 435, 870, 963) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 442, 435, 870, 963 is 1
GCD(442, 435, 870, 963) = 1
Given Input numbers are 442, 435, 870, 963
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Greatest Common Divisior
We found the divisors of 442, 435, 870, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 435, 870, 963 is 1.
Therefore, GCD of numbers 442, 435, 870, 963 is 1
Given Input Data is 442, 435, 870, 963
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 963 is 3 x 3 x 107
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(442, 435) = 192270
GCD(442, 435) = ( 442 x 435 ) / 192270
GCD(442, 435) = 192270 / 192270
GCD(442, 435) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 870
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 870) = 870
GCD(1, 870) = ( 1 x 870 ) / 870
GCD(1, 870) = 870 / 870
GCD(1, 870) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 963) = 963
GCD(1, 963) = ( 1 x 963 ) / 963
GCD(1, 963) = 963 / 963
GCD(1, 963) = 1
GCD of 442, 435, 870, 963 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 442, 435, 870, 963?
GCD of 442, 435, 870, 963 is 1
2. Where do I get the detailed procedure to find GCD of 442, 435, 870, 963?
You can find a detailed procedure to find GCD of 442, 435, 870, 963 on our page.
3. How to find GCD of 442, 435, 870, 963 on a calculator?
You can find the GCD of 442, 435, 870, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.