GCD of 352, 187, 280 Calculator
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, 187, 280 i.e. 1 largest integer that divides all the numbers equally.
GCD of 352, 187, 280 is 1
GCD(352, 187, 280) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 187, 280 is 1
GCD(352, 187, 280) = 1
GCDof 352,187,280 is 1
Given Input numbers are 352, 187, 280
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 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Greatest Common Divisior
We found the divisors of 352, 187, 280 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 187, 280 is 1.
Therefore, GCD of numbers 352, 187, 280 is 1
Given Input Data is 352, 187, 280
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 187 is 11 x 17
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 352, 187, 280 using LCM Formula
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, 187) = 5984
GCD(352, 187) = ( 352 x 187 ) / 5984
GCD(352, 187) = 65824 / 5984
GCD(352, 187) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 280) = 3080
GCD(11, 280) = ( 11 x 280 ) / 3080
GCD(11, 280) = 3080 / 3080
GCD(11, 280) = 1
GCD of 352, 187, 280 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 352, 187, 280
1. What is the GCD of 352, 187, 280?
GCD of 352, 187, 280 is 1
2. Where do I get the detailed procedure to find GCD of 352, 187, 280?
You can find a detailed procedure to find GCD of 352, 187, 280 on our page.
3. How to find GCD of 352, 187, 280 on a calculator?
You can find the GCD of 352, 187, 280 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.