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 448, 351, 528, 882 i.e. 1 largest integer that divides all the numbers equally.
GCD of 448, 351, 528, 882 is 1
GCD(448, 351, 528, 882) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 448, 351, 528, 882 is 1
GCD(448, 351, 528, 882) = 1
Given Input numbers are 448, 351, 528, 882
To find the GCD of numbers using factoring list out all the divisors of each number
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 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Greatest Common Divisior
We found the divisors of 448, 351, 528, 882 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 351, 528, 882 is 1.
Therefore, GCD of numbers 448, 351, 528, 882 is 1
Given Input Data is 448, 351, 528, 882
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 882 is 2 x 3 x 3 x 7 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(448, 351) = 157248
GCD(448, 351) = ( 448 x 351 ) / 157248
GCD(448, 351) = 157248 / 157248
GCD(448, 351) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
GCD(1, 528) = 528 / 528
GCD(1, 528) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 882) = 882
GCD(1, 882) = ( 1 x 882 ) / 882
GCD(1, 882) = 882 / 882
GCD(1, 882) = 1
GCD of 448, 351, 528, 882 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 448, 351, 528, 882?
GCD of 448, 351, 528, 882 is 1
2. Where do I get the detailed procedure to find GCD of 448, 351, 528, 882?
You can find a detailed procedure to find GCD of 448, 351, 528, 882 on our page.
3. How to find GCD of 448, 351, 528, 882 on a calculator?
You can find the GCD of 448, 351, 528, 882 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.