GCF of 4759/235, 8738/6230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4759/235, 8738/6230 i.e 1/292810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4759/235, 8738/6230.
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 4759/235,8738/6230?
Given fractions are 4759/235,8738/6230
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 4759/235,8738/6230, numerators are 4759,8738
Denominators are 235,6230
The GCF of 4759,8738 is 1 .
LCM of 235,6230 is 292810.
The greatest common factor of 4759/235,8738/6230 = [GCF of 4759,8738]/[LCM of 235,6230]= 1/292810
Therefore, the GCF of 4759/235,8738/6230 is 1/292810.
To find the highest common factor of 4759,8738, we have to find the factors of both numbers and list the highest common factor.
The factors of 4759 are 1, 4759
The factors of 8738 are 1, 2, 17, 34, 257, 514, 4369, 8738
The HCF of 4759,8738 is 1.
Lets's calculate GCF of 4759,8738
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4759,8738 By Matching Biggest Common Factor Method
Now, list down the factors of 4759
:1,4759
Now, list down the factors of 8738
:1,2,17,34,257,514,4369,8738
Greatest Common Factor
We found the factors 4759,8738 . The biggest common factor number is the GCF number.
So the greatest common factor 4759,8738 is 1.
Lets's calculate LCM of 235,6230
| 5 | 235, 6230 |
| 47, 1246 |
∴ So the LCM of the given numbers is 5 x 47 x 1246 = 292810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/292810
Therefore, the GCF of Fractions 4759/235,8738/6230 is 1/292810
Least Common Multiple of 235,6230 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 235,6230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,6230) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(235,6230) x common factors =5 x 1 = 5
LCM(235,6230) = ( 235 × 6230 ) / 5
LCM(235,6230) = 1464050 / 5
LCM(235,6230) = 292810
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4759/235, 8738/6230
1. What is the HCF of 4759,8738?
The HCF of 4759,8738 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 4759/235, 8738/6230?
Answer: GCF of Numerators as per given numbers 4759/235, 8738/6230 is
GCF of Numerators i.e. for 4759,8738 is 1
LCM of denominators i.e. for 235,6230 is 292810.
Thus, GCF of Fractions is 1/292810.Finally, GCF of Fractions for 4759/235, 8738/6230 is 1/292810.