GCF of 5265/132, 7694/6172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5265/132, 7694/6172 i.e 1/203676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5265/132, 7694/6172.
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 5265/132,7694/6172?
Given fractions are 5265/132,7694/6172
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 5265/132,7694/6172, numerators are 5265,7694
Denominators are 132,6172
The GCF of 5265,7694 is 1 .
LCM of 132,6172 is 203676.
The greatest common factor of 5265/132,7694/6172 = [GCF of 5265,7694]/[LCM of 132,6172]= 1/203676
Therefore, the GCF of 5265/132,7694/6172 is 1/203676.
To find the highest common factor of 5265,7694, we have to find the factors of both numbers and list the highest common factor.
The factors of 5265 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265
The factors of 7694 are 1, 2, 3847, 7694
The HCF of 5265,7694 is 1.
Lets's calculate GCF of 5265,7694
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5265,7694 By Matching Biggest Common Factor Method
Now, list down the factors of 5265
:1,3,5,9,13,15,27,39,45,65,81,117,135,195,351,405,585,1053,1755,5265
Now, list down the factors of 7694
:1,2,3847,7694
Greatest Common Factor
We found the factors 5265,7694 . The biggest common factor number is the GCF number.
So the greatest common factor 5265,7694 is 1.
Lets's calculate LCM of 132,6172
| 2 | 132, 6172 |
| 2 | 66, 3086 |
| 33, 1543 |
∴ So the LCM of the given numbers is 2 x 2 x 33 x 1543 = 203676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203676
Therefore, the GCF of Fractions 5265/132,7694/6172 is 1/203676
Least Common Multiple of 132,6172 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 132,6172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,6172) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(132,6172) x common factors =4 x 1 = 4
LCM(132,6172) = ( 132 × 6172 ) / 4
LCM(132,6172) = 814704 / 4
LCM(132,6172) = 203676
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FAQs on GCF of Fractions of 5265/132, 7694/6172
1. What is the HCF of 5265,7694?
The HCF of 5265,7694 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 5265/132, 7694/6172?
Answer: GCF of Numerators as per given numbers 5265/132, 7694/6172 is
GCF of Numerators i.e. for 5265,7694 is 1
LCM of denominators i.e. for 132,6172 is 203676.
Thus, GCF of Fractions is 1/203676.Finally, GCF of Fractions for 5265/132, 7694/6172 is 1/203676.