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 352, 430, 98, 180 i.e. 2 largest integer that divides all the numbers equally.
GCD of 352, 430, 98, 180 is 2
GCD(352, 430, 98, 180) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 430, 98, 180 is 2
GCD(352, 430, 98, 180) = 2
Given Input numbers are 352, 430, 98, 180
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 352, 430, 98, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 430, 98, 180 is 2.
Therefore, GCD of numbers 352, 430, 98, 180 is 2
Given Input Data is 352, 430, 98, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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(352, 430) = 75680
GCD(352, 430) = ( 352 x 430 ) / 75680
GCD(352, 430) = 151360 / 75680
GCD(352, 430) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 98) = 98
GCD(2, 98) = ( 2 x 98 ) / 98
GCD(2, 98) = 196 / 98
GCD(2, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
GCD(2, 180) = 360 / 180
GCD(2, 180) = 2
GCD of 352, 430, 98, 180 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 430, 98, 180?
GCD of 352, 430, 98, 180 is 2
2. Where do I get the detailed procedure to find GCD of 352, 430, 98, 180?
You can find a detailed procedure to find GCD of 352, 430, 98, 180 on our page.
3. How to find GCD of 352, 430, 98, 180 on a calculator?
You can find the GCD of 352, 430, 98, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.