GCF of 4319/130, 2746/4664
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4319/130, 2746/4664 i.e 1/303160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4319/130, 2746/4664.
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 4319/130,2746/4664?
Given fractions are 4319/130,2746/4664
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 4319/130,2746/4664, numerators are 4319,2746
Denominators are 130,4664
The GCF of 4319,2746 is 1 .
LCM of 130,4664 is 303160.
The greatest common factor of 4319/130,2746/4664 = [GCF of 4319,2746]/[LCM of 130,4664]= 1/303160
Therefore, the GCF of 4319/130,2746/4664 is 1/303160.
To find the highest common factor of 4319,2746, we have to find the factors of both numbers and list the highest common factor.
The factors of 4319 are 1, 7, 617, 4319
The factors of 2746 are 1, 2, 1373, 2746
The HCF of 4319,2746 is 1.
Lets's calculate GCF of 4319,2746
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4319,2746 By Matching Biggest Common Factor Method
Now, list down the factors of 4319
:1,7,617,4319
Now, list down the factors of 2746
:1,2,1373,2746
Greatest Common Factor
We found the factors 4319,2746 . The biggest common factor number is the GCF number.
So the greatest common factor 4319,2746 is 1.
Lets's calculate LCM of 130,4664
| 2 | 130, 4664 |
| 65, 2332 |
∴ So the LCM of the given numbers is 2 x 65 x 2332 = 303160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303160
Therefore, the GCF of Fractions 4319/130,2746/4664 is 1/303160
Least Common Multiple of 130,4664 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 130,4664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,4664) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,4664) x common factors =2 x 1 = 2
LCM(130,4664) = ( 130 × 4664 ) / 2
LCM(130,4664) = 606320 / 2
LCM(130,4664) = 303160
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FAQs on GCF of Fractions of 4319/130, 2746/4664
1. What is the HCF of 4319,2746?
The HCF of 4319,2746 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 4319/130, 2746/4664?
Answer: GCF of Numerators as per given numbers 4319/130, 2746/4664 is
GCF of Numerators i.e. for 4319,2746 is 1
LCM of denominators i.e. for 130,4664 is 303160.
Thus, GCF of Fractions is 1/303160.Finally, GCF of Fractions for 4319/130, 2746/4664 is 1/303160.