GCD of 276, 822, 561 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 276, 822, 561 quickly. Get the easiest ways to solve the greatest common divisor of 276, 822, 561 i.e 3 in different methods as follows.
Given Input numbers are 276, 822, 561
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 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
GCD of numbers is the greatest common divisor
So, the GCD (276, 822, 561) = 3.
Given numbers are 276, 822, 561
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 822 are 2 x 3 x 137
Prime factors of 561 are 3 x 11 x 17
The highest common occurrence is 31
Therefore, GCD of 276, 822, 561 is 3.
Steps to Calculate GCD of 276, 822, 561 using LCM Formula
Given numbers are 276, 822, 561
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 822) = 37812
GCD(276, 822) = ( 276 x 822 ) / 37812
= 276 / 822
= 276
Step2:
LCM(6, 561) = 1122
GCD(6, 561) = ( 6 x 561 ) / 1122
= 6 / 561
= 6
So, Greatest Common Divisor of 276, 822, 561 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 276, 822, 561
Given numbers are 276, 822, 561
The greatest common divisor of numbers 276, 822, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 822, 561 is 3.
FAQs on GCD of 276, 822, 561 Calculator
1. What is the GCD of 276, 822, 561?
GCD of given numbers 276, 822, 561 is 3
2. How to calculate the greatest common divisor of 276, 822, 561?
We can find the highest common divisor of 276, 822, 561 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, 822, 561 i.e 3.
3. How can I use the GCD of 276, 822, 561Calculator?
Out the numbers 276, 822, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.