GCD of 130, 896, 272 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 130, 896, 272 quickly. Get the easiest ways to solve the greatest common divisor of 130, 896, 272 i.e 2 in different methods as follows.
Given Input numbers are 130, 896, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (130, 896, 272) = 2.
Given numbers are 130, 896, 272
The list of prime factors of all numbers are
Prime factors of 130 are 2 x 5 x 13
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The highest common occurrence is 21
Therefore, GCD of 130, 896, 272 is 2.
Steps to Calculate GCD of 130, 896, 272 using LCM Formula
Given numbers are 130, 896, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(130, 896) = 58240
GCD(130, 896) = ( 130 x 896 ) / 58240
= 130 / 896
= 130
Step2:
LCM(2, 272) = 272
GCD(2, 272) = ( 2 x 272 ) / 272
= 2 / 272
= 2
So, Greatest Common Divisor of 130, 896, 272 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 130, 896, 272
Given numbers are 130, 896, 272
The greatest common divisor of numbers 130, 896, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 896, 272 is 2.
FAQs on GCD of 130, 896, 272 Calculator
1. What is the GCD of 130, 896, 272?
GCD of given numbers 130, 896, 272 is 2
2. How to calculate the greatest common divisor of 130, 896, 272?
We can find the highest common divisor of 130, 896, 272 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 130, 896, 272 i.e 2.
3. How can I use the GCD of 130, 896, 272Calculator?
Out the numbers 130, 896, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.