GCF of 6728/204, 9424/1308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6728/204, 9424/1308 i.e 8/22236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6728/204, 9424/1308.
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 6728/204,9424/1308?
Given fractions are 6728/204,9424/1308
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 6728/204,9424/1308, numerators are 6728,9424
Denominators are 204,1308
The GCF of 6728,9424 is 8 .
LCM of 204,1308 is 22236.
The greatest common factor of 6728/204,9424/1308 = [GCF of 6728,9424]/[LCM of 204,1308]= 8/22236
Therefore, the GCF of 6728/204,9424/1308 is 8/22236.
To find the highest common factor of 6728,9424, we have to find the factors of both numbers and list the highest common factor.
The factors of 6728 are 1, 2, 4, 8, 29, 58, 116, 232, 841, 1682, 3364, 6728
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 6728,9424 is 8.
Lets's calculate GCF of 6728,9424
| 2 | 6728, 9424 |
| 2 | 3364, 4712 |
| 2 | 1682, 2356 |
| 841, 1178 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 6728,9424 By Matching Biggest Common Factor Method
Now, list down the factors of 6728
:1,2,4,8,29,58,116,232,841,1682,3364,6728
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 6728,9424 . The biggest common factor number is the GCF number.
So the greatest common factor 6728,9424 is 8.
Lets's calculate LCM of 204,1308
| 2 | 204, 1308 |
| 2 | 102, 654 |
| 3 | 51, 327 |
| 17, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 109 = 22236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/22236
Therefore, the GCF of Fractions 6728/204,9424/1308 is 8/22236
Least Common Multiple of 204,1308 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 204,1308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,1308) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(204,1308) x common factors =12 x 1 = 12
LCM(204,1308) = ( 204 × 1308 ) / 12
LCM(204,1308) = 266832 / 12
LCM(204,1308) = 22236
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FAQs on GCF of Fractions of 6728/204, 9424/1308
1. What is the HCF of 6728,9424?
The HCF of 6728,9424 is 8
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 6728/204, 9424/1308?
Answer: GCF of Numerators as per given numbers 6728/204, 9424/1308 is
GCF of Numerators i.e. for 6728,9424 is 8
LCM of denominators i.e. for 204,1308 is 22236.
Thus, GCF of Fractions is 8/22236.Finally, GCF of Fractions for 6728/204, 9424/1308 is 8/22236.