GCD of 276, 538, 21 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 276, 538, 21 quickly. Get the easiest ways to solve the greatest common divisor of 276, 538, 21 i.e 1 in different methods as follows.
Given Input numbers are 276, 538, 21
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 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
GCD of numbers is the greatest common divisor
So, the GCD (276, 538, 21) = 1.
Given numbers are 276, 538, 21
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 538 are 2 x 269
Prime factors of 21 are 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 276, 538, 21 using LCM Formula
Given numbers are 276, 538, 21
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 538) = 74244
GCD(276, 538) = ( 276 x 538 ) / 74244
= 276 / 538
= 276
Step2:
LCM(2, 21) = 42
GCD(2, 21) = ( 2 x 21 ) / 42
= 2 / 21
= 2
So, Greatest Common Divisor of 276, 538, 21 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 276, 538, 21
Given numbers are 276, 538, 21
The greatest common divisor of numbers 276, 538, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 538, 21 is 1.
FAQs on GCD of 276, 538, 21 Calculator
1. What is the GCD of 276, 538, 21?
GCD of given numbers 276, 538, 21 is 1
2. How to calculate the greatest common divisor of 276, 538, 21?
We can find the highest common divisor of 276, 538, 21 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, 538, 21 i.e 1.
3. How can I use the GCD of 276, 538, 21Calculator?
Out the numbers 276, 538, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.