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 170, 837, 448, 352 i.e. 1 largest integer that divides all the numbers equally.
GCD of 170, 837, 448, 352 is 1
GCD(170, 837, 448, 352) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 837, 448, 352 is 1
GCD(170, 837, 448, 352) = 1
Given Input numbers are 170, 837, 448, 352
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
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 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Greatest Common Divisior
We found the divisors of 170, 837, 448, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 837, 448, 352 is 1.
Therefore, GCD of numbers 170, 837, 448, 352 is 1
Given Input Data is 170, 837, 448, 352
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 170 is 2 x 5 x 17
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
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(170, 837) = 142290
GCD(170, 837) = ( 170 x 837 ) / 142290
GCD(170, 837) = 142290 / 142290
GCD(170, 837) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 448
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
GCD(1, 448) = 448 / 448
GCD(1, 448) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
GCD(1, 352) = 352 / 352
GCD(1, 352) = 1
GCD of 170, 837, 448, 352 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 837, 448, 352?
GCD of 170, 837, 448, 352 is 1
2. Where do I get the detailed procedure to find GCD of 170, 837, 448, 352?
You can find a detailed procedure to find GCD of 170, 837, 448, 352 on our page.
3. How to find GCD of 170, 837, 448, 352 on a calculator?
You can find the GCD of 170, 837, 448, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.