GCD of 276, 828, 320 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 276, 828, 320 quickly. Get the easiest ways to solve the greatest common divisor of 276, 828, 320 i.e 4 in different methods as follows.
Given Input numbers are 276, 828, 320
In the factoring method, we have to find the divisors of all numbers
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (276, 828, 320) = 4.
Given numbers are 276, 828, 320
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 22
Therefore, GCD of 276, 828, 320 is 4.
Steps to Calculate GCD of 276, 828, 320 using LCM Formula
Given numbers are 276, 828, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 828) = 828
GCD(276, 828) = ( 276 x 828 ) / 828
= 276 / 828
= 276
Step2:
LCM(276, 320) = 22080
GCD(276, 320) = ( 276 x 320 ) / 22080
= 276 / 320
= 276
So, Greatest Common Divisor of 276, 828, 320 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 276, 828, 320
Given numbers are 276, 828, 320
The greatest common divisor of numbers 276, 828, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 828, 320 is 4.
FAQs on GCD of 276, 828, 320 Calculator
1. What is the GCD of 276, 828, 320?
GCD of given numbers 276, 828, 320 is 4
2. How to calculate the greatest common divisor of 276, 828, 320?
We can find the highest common divisor of 276, 828, 320 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 276, 828, 320 i.e 4.
3. How can I use the GCD of 276, 828, 320Calculator?
Out the numbers 276, 828, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.