GCF of 2055/626, 4738/2276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2055/626, 4738/2276 i.e 1/712388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2055/626, 4738/2276.
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 2055/626,4738/2276?
Given fractions are 2055/626,4738/2276
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 2055/626,4738/2276, numerators are 2055,4738
Denominators are 626,2276
The GCF of 2055,4738 is 1 .
LCM of 626,2276 is 712388.
The greatest common factor of 2055/626,4738/2276 = [GCF of 2055,4738]/[LCM of 626,2276]= 1/712388
Therefore, the GCF of 2055/626,4738/2276 is 1/712388.
To find the highest common factor of 2055,4738, we have to find the factors of both numbers and list the highest common factor.
The factors of 2055 are 1, 3, 5, 15, 137, 411, 685, 2055
The factors of 4738 are 1, 2, 23, 46, 103, 206, 2369, 4738
The HCF of 2055,4738 is 1.
Lets's calculate GCF of 2055,4738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2055,4738 By Matching Biggest Common Factor Method
Now, list down the factors of 2055
:1,3,5,15,137,411,685,2055
Now, list down the factors of 4738
:1,2,23,46,103,206,2369,4738
Greatest Common Factor
We found the factors 2055,4738 . The biggest common factor number is the GCF number.
So the greatest common factor 2055,4738 is 1.
Lets's calculate LCM of 626,2276
| 2 | 626, 2276 |
| 313, 1138 |
∴ So the LCM of the given numbers is 2 x 313 x 1138 = 712388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/712388
Therefore, the GCF of Fractions 2055/626,4738/2276 is 1/712388
Least Common Multiple of 626,2276 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 626,2276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,2276) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(626,2276) x common factors =2 x 1 = 2
LCM(626,2276) = ( 626 × 2276 ) / 2
LCM(626,2276) = 1424776 / 2
LCM(626,2276) = 712388
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2055/626, 4738/2276
1. What is the HCF of 2055,4738?
The HCF of 2055,4738 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 2055/626, 4738/2276?
Answer: GCF of Numerators as per given numbers 2055/626, 4738/2276 is
GCF of Numerators i.e. for 2055,4738 is 1
LCM of denominators i.e. for 626,2276 is 712388.
Thus, GCF of Fractions is 1/712388.Finally, GCF of Fractions for 2055/626, 4738/2276 is 1/712388.