GCD of 548, 138, 26 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 548, 138, 26 quickly. Get the easiest ways to solve the greatest common divisor of 548, 138, 26 i.e 2 in different methods as follows.
Given Input numbers are 548, 138, 26
In the factoring method, we have to find the divisors of all numbers
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 26 :
The positive integer divisors of 26 that completely divides 26 are.
1, 2, 13, 26
GCD of numbers is the greatest common divisor
So, the GCD (548, 138, 26) = 2.
Given numbers are 548, 138, 26
The list of prime factors of all numbers are
Prime factors of 548 are 2 x 2 x 137
Prime factors of 138 are 2 x 3 x 23
Prime factors of 26 are 2 x 13
The highest common occurrence is 21
Therefore, GCD of 548, 138, 26 is 2.
Steps to Calculate GCD of 548, 138, 26 using LCM Formula
Given numbers are 548, 138, 26
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(548, 138) = 37812
GCD(548, 138) = ( 548 x 138 ) / 37812
= 548 / 138
= 548
Step2:
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
= 2 / 26
= 2
So, Greatest Common Divisor of 548, 138, 26 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 548, 138, 26
Given numbers are 548, 138, 26
The greatest common divisor of numbers 548, 138, 26 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 138, 26 is 2.
FAQs on GCD of 548, 138, 26 Calculator
1. What is the GCD of 548, 138, 26?
GCD of given numbers 548, 138, 26 is 2
2. How to calculate the greatest common divisor of 548, 138, 26?
We can find the highest common divisor of 548, 138, 26 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 548, 138, 26 i.e 2.
3. How can I use the GCD of 548, 138, 26Calculator?
Out the numbers 548, 138, 26 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.