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, 480, 74, 202 i.e. 2 largest integer that divides all the numbers equally.
GCD of 170, 480, 74, 202 is 2
GCD(170, 480, 74, 202) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 170, 480, 74, 202 is 2
GCD(170, 480, 74, 202) = 2
Given Input numbers are 170, 480, 74, 202
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 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Greatest Common Divisior
We found the divisors of 170, 480, 74, 202 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 480, 74, 202 is 2.
Therefore, GCD of numbers 170, 480, 74, 202 is 2
Given Input Data is 170, 480, 74, 202
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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 74 is 2 x 37
Prime Factorization of 202 is 2 x 101
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(170, 480) = 8160
GCD(170, 480) = ( 170 x 480 ) / 8160
GCD(170, 480) = 81600 / 8160
GCD(170, 480) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 74
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 74) = 370
GCD(10, 74) = ( 10 x 74 ) / 370
GCD(10, 74) = 740 / 370
GCD(10, 74) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 202) = 202
GCD(2, 202) = ( 2 x 202 ) / 202
GCD(2, 202) = 404 / 202
GCD(2, 202) = 2
GCD of 170, 480, 74, 202 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 170, 480, 74, 202?
GCD of 170, 480, 74, 202 is 2
2. Where do I get the detailed procedure to find GCD of 170, 480, 74, 202?
You can find a detailed procedure to find GCD of 170, 480, 74, 202 on our page.
3. How to find GCD of 170, 480, 74, 202 on a calculator?
You can find the GCD of 170, 480, 74, 202 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.