GCF of 18/393, 55/173, 108/419
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 18/393, 55/173, 108/419 i.e 1/28487391 easily. The following is the detailed procedure to determine the greatest common factor of fractions 18/393, 55/173, 108/419.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 18/393,55/173,108/419?
Given fractions are 18/393,55/173,108/419
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 18/393,55/173,108/419, numerators are 18,55,108
Denominators are 393,173,419
The GCF of 18,55,108 is 1 .
LCM of 393,173,419 is 28487391.
The greatest common factor of 18/393,55/173,108/419 = [GCF of 18,55,108]/[LCM of 393,173,419]= 1/28487391
Therefore, the GCF of 18/393,55/173,108/419 is 1/28487391.
To find the highest common factor of 18,55,108, we have to find the factors of both numbers and list the highest common factor.
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 55 are 1, 5, 11, 55
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The HCF of 18,55,108 is 1.
Lets's calculate GCF of 18,55,108
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 18,55,108 By Matching Biggest Common Factor Method
Now, list down the factors of 18
:1,2,3,6,9,18
Now, list down the factors of 55
:1,5,11,55
Now, list down the factors of 108
:1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 18,55,108 . The biggest common factor number is the GCF number.
So the greatest common factor 18,55,108 is 1.
Lets's calculate LCM of 393,173,419
Given numbers has no common factors except 1. So, there LCM is their product i.e 28487391
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28487391
Therefore, the GCF of Fractions 18/393,55/173,108/419 is 1/28487391
Least Common Multiple of 393,173,419 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 393,173,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,173,419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(393,173,419) x common factors =1 x 1 = 1
LCM(393,173,419) = ( 393 × 173 × 419 ) / 1
LCM(393,173,419) = 28487391 / 1
LCM(393,173,419) = 28487391
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FAQs on GCF of Fractions of 18/393, 55/173, 108/419
1. What is the HCF of 18,55,108?
The HCF of 18,55,108 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 18/393, 55/173, 108/419?
Answer: GCF of Numerators as per given numbers 18/393, 55/173, 108/419 is
GCF of Numerators i.e. for 18,55,108 is 1
LCM of denominators i.e. for 393,173,419 is 28487391.
Thus, GCF of Fractions is 1/28487391.Finally, GCF of Fractions for 18/393, 55/173, 108/419 is 1/28487391.