GCF of 9425/474, 8132/8919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9425/474, 8132/8919 i.e 1/1409202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9425/474, 8132/8919.
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 9425/474,8132/8919?
Given fractions are 9425/474,8132/8919
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 9425/474,8132/8919, numerators are 9425,8132
Denominators are 474,8919
The GCF of 9425,8132 is 1 .
LCM of 474,8919 is 1409202.
The greatest common factor of 9425/474,8132/8919 = [GCF of 9425,8132]/[LCM of 474,8919]= 1/1409202
Therefore, the GCF of 9425/474,8132/8919 is 1/1409202.
To find the highest common factor of 9425,8132, we have to find the factors of both numbers and list the highest common factor.
The factors of 9425 are 1, 5, 13, 25, 29, 65, 145, 325, 377, 725, 1885, 9425
The factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132
The HCF of 9425,8132 is 1.
Lets's calculate GCF of 9425,8132
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9425,8132 By Matching Biggest Common Factor Method
Now, list down the factors of 9425
:1,5,13,25,29,65,145,325,377,725,1885,9425
Now, list down the factors of 8132
:1,2,4,19,38,76,107,214,428,2033,4066,8132
Greatest Common Factor
We found the factors 9425,8132 . The biggest common factor number is the GCF number.
So the greatest common factor 9425,8132 is 1.
Lets's calculate LCM of 474,8919
| 3 | 474, 8919 |
| 158, 2973 |
∴ So the LCM of the given numbers is 3 x 158 x 2973 = 1409202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1409202
Therefore, the GCF of Fractions 9425/474,8132/8919 is 1/1409202
Least Common Multiple of 474,8919 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 474,8919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,8919) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(474,8919) x common factors =3 x 1 = 3
LCM(474,8919) = ( 474 × 8919 ) / 3
LCM(474,8919) = 4227606 / 3
LCM(474,8919) = 1409202
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FAQs on GCF of Fractions of 9425/474, 8132/8919
1. What is the HCF of 9425,8132?
The HCF of 9425,8132 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 9425/474, 8132/8919?
Answer: GCF of Numerators as per given numbers 9425/474, 8132/8919 is
GCF of Numerators i.e. for 9425,8132 is 1
LCM of denominators i.e. for 474,8919 is 1409202.
Thus, GCF of Fractions is 1/1409202.Finally, GCF of Fractions for 9425/474, 8132/8919 is 1/1409202.