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, 562, 244, 170 i.e. 2 largest integer that divides all the numbers equally.
GCD of 448, 562, 244, 170 is 2
GCD(448, 562, 244, 170) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 448, 562, 244, 170 is 2
GCD(448, 562, 244, 170) = 2
Given Input numbers are 448, 562, 244, 170
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 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
Divisors of 244
List of positive integer divisors of 244 that divides 244 without a remainder.
1, 2, 4, 61, 122, 244
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 448, 562, 244, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 448, 562, 244, 170 is 2.
Therefore, GCD of numbers 448, 562, 244, 170 is 2
Given Input Data is 448, 562, 244, 170
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 562 is 2 x 281
Prime Factorization of 244 is 2 x 2 x 61
Prime Factorization of 170 is 2 x 5 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 562) = 125888
GCD(448, 562) = ( 448 x 562 ) / 125888
GCD(448, 562) = 251776 / 125888
GCD(448, 562) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 244
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 244) = 244
GCD(2, 244) = ( 2 x 244 ) / 244
GCD(2, 244) = 488 / 244
GCD(2, 244) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 170) = 170
GCD(2, 170) = ( 2 x 170 ) / 170
GCD(2, 170) = 340 / 170
GCD(2, 170) = 2
GCD of 448, 562, 244, 170 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 448, 562, 244, 170?
GCD of 448, 562, 244, 170 is 2
2. Where do I get the detailed procedure to find GCD of 448, 562, 244, 170?
You can find a detailed procedure to find GCD of 448, 562, 244, 170 on our page.
3. How to find GCD of 448, 562, 244, 170 on a calculator?
You can find the GCD of 448, 562, 244, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.