GCF of 8647/294, 7375/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8647/294, 7375/117 i.e 1/11466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8647/294, 7375/117.
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 8647/294,7375/117?
Given fractions are 8647/294,7375/117
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 8647/294,7375/117, numerators are 8647,7375
Denominators are 294,117
The GCF of 8647,7375 is 1 .
LCM of 294,117 is 11466.
The greatest common factor of 8647/294,7375/117 = [GCF of 8647,7375]/[LCM of 294,117]= 1/11466
Therefore, the GCF of 8647/294,7375/117 is 1/11466.
To find the highest common factor of 8647,7375, we have to find the factors of both numbers and list the highest common factor.
The factors of 8647 are 1, 8647
The factors of 7375 are 1, 5, 25, 59, 125, 295, 1475, 7375
The HCF of 8647,7375 is 1.
Lets's calculate GCF of 8647,7375
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8647,7375 By Matching Biggest Common Factor Method
Now, list down the factors of 8647
:1,8647
Now, list down the factors of 7375
:1,5,25,59,125,295,1475,7375
Greatest Common Factor
We found the factors 8647,7375 . The biggest common factor number is the GCF number.
So the greatest common factor 8647,7375 is 1.
Lets's calculate LCM of 294,117
| 3 | 294, 117 |
| 98, 39 |
∴ So the LCM of the given numbers is 3 x 98 x 39 = 11466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11466
Therefore, the GCF of Fractions 8647/294,7375/117 is 1/11466
Least Common Multiple of 294,117 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 294,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,117) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(294,117) x common factors =3 x 1 = 3
LCM(294,117) = ( 294 × 117 ) / 3
LCM(294,117) = 34398 / 3
LCM(294,117) = 11466
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FAQs on GCF of Fractions of 8647/294, 7375/117
1. What is the HCF of 8647,7375?
The HCF of 8647,7375 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 8647/294, 7375/117?
Answer: GCF of Numerators as per given numbers 8647/294, 7375/117 is
GCF of Numerators i.e. for 8647,7375 is 1
LCM of denominators i.e. for 294,117 is 11466.
Thus, GCF of Fractions is 1/11466.Finally, GCF of Fractions for 8647/294, 7375/117 is 1/11466.