GCF of 8375/294, 5404/1176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8375/294, 5404/1176 i.e 1/1176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8375/294, 5404/1176.
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 8375/294,5404/1176?
Given fractions are 8375/294,5404/1176
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 8375/294,5404/1176, numerators are 8375,5404
Denominators are 294,1176
The GCF of 8375,5404 is 1 .
LCM of 294,1176 is 1176.
The greatest common factor of 8375/294,5404/1176 = [GCF of 8375,5404]/[LCM of 294,1176]= 1/1176
Therefore, the GCF of 8375/294,5404/1176 is 1/1176.
To find the highest common factor of 8375,5404, we have to find the factors of both numbers and list the highest common factor.
The factors of 8375 are 1, 5, 25, 67, 125, 335, 1675, 8375
The factors of 5404 are 1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404
The HCF of 8375,5404 is 1.
Lets's calculate GCF of 8375,5404
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8375,5404 By Matching Biggest Common Factor Method
Now, list down the factors of 8375
:1,5,25,67,125,335,1675,8375
Now, list down the factors of 5404
:1,2,4,7,14,28,193,386,772,1351,2702,5404
Greatest Common Factor
We found the factors 8375,5404 . The biggest common factor number is the GCF number.
So the greatest common factor 8375,5404 is 1.
Lets's calculate LCM of 294,1176
| 2 | 294, 1176 |
| 3 | 147, 588 |
| 7 | 49, 196 |
| 7 | 7, 28 |
| 1, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 7 x 1 x 4 = 1176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1176
Therefore, the GCF of Fractions 8375/294,5404/1176 is 1/1176
Least Common Multiple of 294,1176 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 294,1176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,1176) = 294
common factors(in case of two or more numbers have common factors) = 1
GCF(294,1176) x common factors =294 x 1 = 294
LCM(294,1176) = ( 294 × 1176 ) / 294
LCM(294,1176) = 345744 / 294
LCM(294,1176) = 1176
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FAQs on GCF of Fractions of 8375/294, 5404/1176
1. What is the HCF of 8375,5404?
The HCF of 8375,5404 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 8375/294, 5404/1176?
Answer: GCF of Numerators as per given numbers 8375/294, 5404/1176 is
GCF of Numerators i.e. for 8375,5404 is 1
LCM of denominators i.e. for 294,1176 is 1176.
Thus, GCF of Fractions is 1/1176.Finally, GCF of Fractions for 8375/294, 5404/1176 is 1/1176.