GCF of 9457/336, 9728/1424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9457/336, 9728/1424 i.e 1/29904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9457/336, 9728/1424.
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 9457/336,9728/1424?
Given fractions are 9457/336,9728/1424
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 9457/336,9728/1424, numerators are 9457,9728
Denominators are 336,1424
The GCF of 9457,9728 is 1 .
LCM of 336,1424 is 29904.
The greatest common factor of 9457/336,9728/1424 = [GCF of 9457,9728]/[LCM of 336,1424]= 1/29904
Therefore, the GCF of 9457/336,9728/1424 is 1/29904.
To find the highest common factor of 9457,9728, we have to find the factors of both numbers and list the highest common factor.
The factors of 9457 are 1, 7, 49, 193, 1351, 9457
The factors of 9728 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 256, 304, 512, 608, 1216, 2432, 4864, 9728
The HCF of 9457,9728 is 1.
Lets's calculate GCF of 9457,9728
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9457,9728 By Matching Biggest Common Factor Method
Now, list down the factors of 9457
:1,7,49,193,1351,9457
Now, list down the factors of 9728
:1,2,4,8,16,19,32,38,64,76,128,152,256,304,512,608,1216,2432,4864,9728
Greatest Common Factor
We found the factors 9457,9728 . The biggest common factor number is the GCF number.
So the greatest common factor 9457,9728 is 1.
Lets's calculate LCM of 336,1424
| 2 | 336, 1424 |
| 2 | 168, 712 |
| 2 | 84, 356 |
| 2 | 42, 178 |
| 21, 89 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 21 x 89 = 29904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29904
Therefore, the GCF of Fractions 9457/336,9728/1424 is 1/29904
Least Common Multiple of 336,1424 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 336,1424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,1424) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(336,1424) x common factors =16 x 1 = 16
LCM(336,1424) = ( 336 × 1424 ) / 16
LCM(336,1424) = 478464 / 16
LCM(336,1424) = 29904
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FAQs on GCF of Fractions of 9457/336, 9728/1424
1. What is the HCF of 9457,9728?
The HCF of 9457,9728 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 9457/336, 9728/1424?
Answer: GCF of Numerators as per given numbers 9457/336, 9728/1424 is
GCF of Numerators i.e. for 9457,9728 is 1
LCM of denominators i.e. for 336,1424 is 29904.
Thus, GCF of Fractions is 1/29904.Finally, GCF of Fractions for 9457/336, 9728/1424 is 1/29904.