GCF of 2017/133, 2078/1268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2017/133, 2078/1268 i.e 1/168644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2017/133, 2078/1268.
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 2017/133,2078/1268?
Given fractions are 2017/133,2078/1268
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 2017/133,2078/1268, numerators are 2017,2078
Denominators are 133,1268
The GCF of 2017,2078 is 1 .
LCM of 133,1268 is 168644.
The greatest common factor of 2017/133,2078/1268 = [GCF of 2017,2078]/[LCM of 133,1268]= 1/168644
Therefore, the GCF of 2017/133,2078/1268 is 1/168644.
To find the highest common factor of 2017,2078, we have to find the factors of both numbers and list the highest common factor.
The factors of 2017 are 1, 2017
The factors of 2078 are 1, 2, 1039, 2078
The HCF of 2017,2078 is 1.
Lets's calculate GCF of 2017,2078
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2017,2078 By Matching Biggest Common Factor Method
Now, list down the factors of 2017
:1,2017
Now, list down the factors of 2078
:1,2,1039,2078
Greatest Common Factor
We found the factors 2017,2078 . The biggest common factor number is the GCF number.
So the greatest common factor 2017,2078 is 1.
Lets's calculate LCM of 133,1268
Given numbers has no common factors except 1. So, there LCM is their product i.e 168644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168644
Therefore, the GCF of Fractions 2017/133,2078/1268 is 1/168644
Least Common Multiple of 133,1268 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 133,1268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,1268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,1268) x common factors =1 x 1 = 1
LCM(133,1268) = ( 133 × 1268 ) / 1
LCM(133,1268) = 168644 / 1
LCM(133,1268) = 168644
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2017/133, 2078/1268
1. What is the HCF of 2017,2078?
The HCF of 2017,2078 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 2017/133, 2078/1268?
Answer: GCF of Numerators as per given numbers 2017/133, 2078/1268 is
GCF of Numerators i.e. for 2017,2078 is 1
LCM of denominators i.e. for 133,1268 is 168644.
Thus, GCF of Fractions is 1/168644.Finally, GCF of Fractions for 2017/133, 2078/1268 is 1/168644.