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 896, 531, 49, 210 i.e. 1 largest integer that divides all the numbers equally.
GCD of 896, 531, 49, 210 is 1
GCD(896, 531, 49, 210) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 896, 531, 49, 210 is 1
GCD(896, 531, 49, 210) = 1
Given Input numbers are 896, 531, 49, 210
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Greatest Common Divisior
We found the divisors of 896, 531, 49, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 531, 49, 210 is 1.
Therefore, GCD of numbers 896, 531, 49, 210 is 1
Given Input Data is 896, 531, 49, 210
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 49 is 7 x 7
Prime Factorization of 210 is 2 x 3 x 5 x 7
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(896, 531) = 475776
GCD(896, 531) = ( 896 x 531 ) / 475776
GCD(896, 531) = 475776 / 475776
GCD(896, 531) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 210) = 210
GCD(1, 210) = ( 1 x 210 ) / 210
GCD(1, 210) = 210 / 210
GCD(1, 210) = 1
GCD of 896, 531, 49, 210 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 896, 531, 49, 210?
GCD of 896, 531, 49, 210 is 1
2. Where do I get the detailed procedure to find GCD of 896, 531, 49, 210?
You can find a detailed procedure to find GCD of 896, 531, 49, 210 on our page.
3. How to find GCD of 896, 531, 49, 210 on a calculator?
You can find the GCD of 896, 531, 49, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.