GCD of 118, 674, 54 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 118, 674, 54 quickly. Get the easiest ways to solve the greatest common divisor of 118, 674, 54 i.e 2 in different methods as follows.
Given Input numbers are 118, 674, 54
In the factoring method, we have to find the divisors of all numbers
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 54 :
The positive integer divisors of 54 that completely divides 54 are.
1, 2, 3, 6, 9, 18, 27, 54
GCD of numbers is the greatest common divisor
So, the GCD (118, 674, 54) = 2.
Given numbers are 118, 674, 54
The list of prime factors of all numbers are
Prime factors of 118 are 2 x 59
Prime factors of 674 are 2 x 337
Prime factors of 54 are 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 118, 674, 54 is 2.
Steps to Calculate GCD of 118, 674, 54 using LCM Formula
Given numbers are 118, 674, 54
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(118, 674) = 39766
GCD(118, 674) = ( 118 x 674 ) / 39766
= 118 / 674
= 118
Step2:
LCM(2, 54) = 54
GCD(2, 54) = ( 2 x 54 ) / 54
= 2 / 54
= 2
So, Greatest Common Divisor of 118, 674, 54 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 118, 674, 54
Given numbers are 118, 674, 54
The greatest common divisor of numbers 118, 674, 54 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 674, 54 is 2.
FAQs on GCD of 118, 674, 54 Calculator
1. What is the GCD of 118, 674, 54?
GCD of given numbers 118, 674, 54 is 2
2. How to calculate the greatest common divisor of 118, 674, 54?
We can find the highest common divisor of 118, 674, 54 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 118, 674, 54 i.e 2.
3. How can I use the GCD of 118, 674, 54Calculator?
Out the numbers 118, 674, 54 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.