GCD of 312, 880, 48 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 312, 880, 48 quickly. Get the easiest ways to solve the greatest common divisor of 312, 880, 48 i.e 8 in different methods as follows.
Given Input numbers are 312, 880, 48
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 880 :
The positive integer divisors of 880 that completely divides 880 are.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 48 :
The positive integer divisors of 48 that completely divides 48 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
GCD of numbers is the greatest common divisor
So, the GCD (312, 880, 48) = 8.
Given numbers are 312, 880, 48
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11
Prime factors of 48 are 2 x 2 x 2 x 2 x 3
The highest common occurrence is 23
Therefore, GCD of 312, 880, 48 is 8.
Steps to Calculate GCD of 312, 880, 48 using LCM Formula
Given numbers are 312, 880, 48
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 880) = 34320
GCD(312, 880) = ( 312 x 880 ) / 34320
= 312 / 880
= 312
Step2:
LCM(8, 48) = 48
GCD(8, 48) = ( 8 x 48 ) / 48
= 8 / 48
= 8
So, Greatest Common Divisor of 312, 880, 48 is 8
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 312, 880, 48
Given numbers are 312, 880, 48
The greatest common divisor of numbers 312, 880, 48 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 880, 48 is 8.
FAQs on GCD of 312, 880, 48 Calculator
1. What is the GCD of 312, 880, 48?
GCD of given numbers 312, 880, 48 is 8
2. How to calculate the greatest common divisor of 312, 880, 48?
We can find the highest common divisor of 312, 880, 48 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 312, 880, 48 i.e 8.
3. How can I use the GCD of 312, 880, 48Calculator?
Out the numbers 312, 880, 48 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.