GCF of 9107/260, 4759/2864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9107/260, 4759/2864 i.e 1/186160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9107/260, 4759/2864.
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 9107/260,4759/2864?
Given fractions are 9107/260,4759/2864
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 9107/260,4759/2864, numerators are 9107,4759
Denominators are 260,2864
The GCF of 9107,4759 is 1 .
LCM of 260,2864 is 186160.
The greatest common factor of 9107/260,4759/2864 = [GCF of 9107,4759]/[LCM of 260,2864]= 1/186160
Therefore, the GCF of 9107/260,4759/2864 is 1/186160.
To find the highest common factor of 9107,4759, we have to find the factors of both numbers and list the highest common factor.
The factors of 9107 are 1, 7, 1301, 9107
The factors of 4759 are 1, 4759
The HCF of 9107,4759 is 1.
Lets's calculate GCF of 9107,4759
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9107,4759 By Matching Biggest Common Factor Method
Now, list down the factors of 9107
:1,7,1301,9107
Now, list down the factors of 4759
:1,4759
Greatest Common Factor
We found the factors 9107,4759 . The biggest common factor number is the GCF number.
So the greatest common factor 9107,4759 is 1.
Lets's calculate LCM of 260,2864
| 2 | 260, 2864 |
| 2 | 130, 1432 |
| 65, 716 |
∴ So the LCM of the given numbers is 2 x 2 x 65 x 716 = 186160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186160
Therefore, the GCF of Fractions 9107/260,4759/2864 is 1/186160
Least Common Multiple of 260,2864 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 260,2864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,2864) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(260,2864) x common factors =4 x 1 = 4
LCM(260,2864) = ( 260 × 2864 ) / 4
LCM(260,2864) = 744640 / 4
LCM(260,2864) = 186160
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FAQs on GCF of Fractions of 9107/260, 4759/2864
1. What is the HCF of 9107,4759?
The HCF of 9107,4759 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 9107/260, 4759/2864?
Answer: GCF of Numerators as per given numbers 9107/260, 4759/2864 is
GCF of Numerators i.e. for 9107,4759 is 1
LCM of denominators i.e. for 260,2864 is 186160.
Thus, GCF of Fractions is 1/186160.Finally, GCF of Fractions for 9107/260, 4759/2864 is 1/186160.