GCF of 4271/868, 7096/8708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4271/868, 7096/8708 i.e 1/269948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4271/868, 7096/8708.
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 4271/868,7096/8708?
Given fractions are 4271/868,7096/8708
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 4271/868,7096/8708, numerators are 4271,7096
Denominators are 868,8708
The GCF of 4271,7096 is 1 .
LCM of 868,8708 is 269948.
The greatest common factor of 4271/868,7096/8708 = [GCF of 4271,7096]/[LCM of 868,8708]= 1/269948
Therefore, the GCF of 4271/868,7096/8708 is 1/269948.
To find the highest common factor of 4271,7096, we have to find the factors of both numbers and list the highest common factor.
The factors of 4271 are 1, 4271
The factors of 7096 are 1, 2, 4, 8, 887, 1774, 3548, 7096
The HCF of 4271,7096 is 1.
Lets's calculate GCF of 4271,7096
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4271,7096 By Matching Biggest Common Factor Method
Now, list down the factors of 4271
:1,4271
Now, list down the factors of 7096
:1,2,4,8,887,1774,3548,7096
Greatest Common Factor
We found the factors 4271,7096 . The biggest common factor number is the GCF number.
So the greatest common factor 4271,7096 is 1.
Lets's calculate LCM of 868,8708
| 2 | 868, 8708 |
| 2 | 434, 4354 |
| 7 | 217, 2177 |
| 31, 311 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 31 x 311 = 269948
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269948
Therefore, the GCF of Fractions 4271/868,7096/8708 is 1/269948
Least Common Multiple of 868,8708 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 868,8708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,8708) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(868,8708) x common factors =28 x 1 = 28
LCM(868,8708) = ( 868 × 8708 ) / 28
LCM(868,8708) = 7558544 / 28
LCM(868,8708) = 269948
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4271/868, 7096/8708
1. What is the HCF of 4271,7096?
The HCF of 4271,7096 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 4271/868, 7096/8708?
Answer: GCF of Numerators as per given numbers 4271/868, 7096/8708 is
GCF of Numerators i.e. for 4271,7096 is 1
LCM of denominators i.e. for 868,8708 is 269948.
Thus, GCF of Fractions is 1/269948.Finally, GCF of Fractions for 4271/868, 7096/8708 is 1/269948.