GCF of 5329/294, 5187/4688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5329/294, 5187/4688 i.e 1/689136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5329/294, 5187/4688.
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 5329/294,5187/4688?
Given fractions are 5329/294,5187/4688
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 5329/294,5187/4688, numerators are 5329,5187
Denominators are 294,4688
The GCF of 5329,5187 is 1 .
LCM of 294,4688 is 689136.
The greatest common factor of 5329/294,5187/4688 = [GCF of 5329,5187]/[LCM of 294,4688]= 1/689136
Therefore, the GCF of 5329/294,5187/4688 is 1/689136.
To find the highest common factor of 5329,5187, we have to find the factors of both numbers and list the highest common factor.
The factors of 5329 are 1, 73, 5329
The factors of 5187 are 1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187
The HCF of 5329,5187 is 1.
Lets's calculate GCF of 5329,5187
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5329,5187 By Matching Biggest Common Factor Method
Now, list down the factors of 5329
:1,73,5329
Now, list down the factors of 5187
:1,3,7,13,19,21,39,57,91,133,247,273,399,741,1729,5187
Greatest Common Factor
We found the factors 5329,5187 . The biggest common factor number is the GCF number.
So the greatest common factor 5329,5187 is 1.
Lets's calculate LCM of 294,4688
| 2 | 294, 4688 |
| 147, 2344 |
∴ So the LCM of the given numbers is 2 x 147 x 2344 = 689136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/689136
Therefore, the GCF of Fractions 5329/294,5187/4688 is 1/689136
Least Common Multiple of 294,4688 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 294,4688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,4688) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(294,4688) x common factors =2 x 1 = 2
LCM(294,4688) = ( 294 × 4688 ) / 2
LCM(294,4688) = 1378272 / 2
LCM(294,4688) = 689136
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FAQs on GCF of Fractions of 5329/294, 5187/4688
1. What is the HCF of 5329,5187?
The HCF of 5329,5187 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 5329/294, 5187/4688?
Answer: GCF of Numerators as per given numbers 5329/294, 5187/4688 is
GCF of Numerators i.e. for 5329,5187 is 1
LCM of denominators i.e. for 294,4688 is 689136.
Thus, GCF of Fractions is 1/689136.Finally, GCF of Fractions for 5329/294, 5187/4688 is 1/689136.