GCF of 9671/319, 9424/7425
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9671/319, 9424/7425 i.e 19/215325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9671/319, 9424/7425.
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 9671/319,9424/7425?
Given fractions are 9671/319,9424/7425
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 9671/319,9424/7425, numerators are 9671,9424
Denominators are 319,7425
The GCF of 9671,9424 is 19 .
LCM of 319,7425 is 215325.
The greatest common factor of 9671/319,9424/7425 = [GCF of 9671,9424]/[LCM of 319,7425]= 19/215325
Therefore, the GCF of 9671/319,9424/7425 is 19/215325.
To find the highest common factor of 9671,9424, we have to find the factors of both numbers and list the highest common factor.
The factors of 9671 are 1, 19, 509, 9671
The factors of 9424 are 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424
The HCF of 9671,9424 is 19.
Lets's calculate GCF of 9671,9424
| 19 | 9671, 9424 |
| 509, 496 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 9671,9424 By Matching Biggest Common Factor Method
Now, list down the factors of 9671
:1,19,509,9671
Now, list down the factors of 9424
:1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424
Greatest Common Factor
We found the factors 9671,9424 . The biggest common factor number is the GCF number.
So the greatest common factor 9671,9424 is 19.
Lets's calculate LCM of 319,7425
| 11 | 319, 7425 |
| 29, 675 |
∴ So the LCM of the given numbers is 11 x 29 x 675 = 215325
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/215325
Therefore, the GCF of Fractions 9671/319,9424/7425 is 19/215325
Least Common Multiple of 319,7425 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 319,7425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,7425) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(319,7425) x common factors =11 x 1 = 11
LCM(319,7425) = ( 319 × 7425 ) / 11
LCM(319,7425) = 2368575 / 11
LCM(319,7425) = 215325
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FAQs on GCF of Fractions of 9671/319, 9424/7425
1. What is the HCF of 9671,9424?
The HCF of 9671,9424 is 19
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 9671/319, 9424/7425?
Answer: GCF of Numerators as per given numbers 9671/319, 9424/7425 is
GCF of Numerators i.e. for 9671,9424 is 19
LCM of denominators i.e. for 319,7425 is 215325.
Thus, GCF of Fractions is 19/215325.Finally, GCF of Fractions for 9671/319, 9424/7425 is 19/215325.