GCF of 3968/442, 9344/6451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3968/442, 9344/6451 i.e 128/2851342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3968/442, 9344/6451.
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 3968/442,9344/6451?
Given fractions are 3968/442,9344/6451
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 3968/442,9344/6451, numerators are 3968,9344
Denominators are 442,6451
The GCF of 3968,9344 is 128 .
LCM of 442,6451 is 2851342.
The greatest common factor of 3968/442,9344/6451 = [GCF of 3968,9344]/[LCM of 442,6451]= 128/2851342
Therefore, the GCF of 3968/442,9344/6451 is 128/2851342.
To find the highest common factor of 3968,9344, we have to find the factors of both numbers and list the highest common factor.
The factors of 3968 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968
The factors of 9344 are 1, 2, 4, 8, 16, 32, 64, 73, 128, 146, 292, 584, 1168, 2336, 4672, 9344
The HCF of 3968,9344 is 128.
Lets's calculate GCF of 3968,9344
| 2 | 3968, 9344 |
| 2 | 1984, 4672 |
| 2 | 992, 2336 |
| 2 | 496, 1168 |
| 2 | 248, 584 |
| 2 | 124, 292 |
| 2 | 62, 146 |
| 31, 73 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128
Greatest Common Factor of 3968,9344 By Matching Biggest Common Factor Method
Now, list down the factors of 3968
:1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968
Now, list down the factors of 9344
:1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344
Greatest Common Factor
We found the factors 3968,9344 . The biggest common factor number is the GCF number.
So the greatest common factor 3968,9344 is 128.
Lets's calculate LCM of 442,6451
Given numbers has no common factors except 1. So, there LCM is their product i.e 2851342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 128/2851342
Therefore, the GCF of Fractions 3968/442,9344/6451 is 128/2851342
Least Common Multiple of 442,6451 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 442,6451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(442,6451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(442,6451) x common factors =1 x 1 = 1
LCM(442,6451) = ( 442 × 6451 ) / 1
LCM(442,6451) = 2851342 / 1
LCM(442,6451) = 2851342
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FAQs on GCF of Fractions of 3968/442, 9344/6451
1. What is the HCF of 3968,9344?
The HCF of 3968,9344 is 128
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 3968/442, 9344/6451?
Answer: GCF of Numerators as per given numbers 3968/442, 9344/6451 is
GCF of Numerators i.e. for 3968,9344 is 128
LCM of denominators i.e. for 442,6451 is 2851342.
Thus, GCF of Fractions is 128/2851342.Finally, GCF of Fractions for 3968/442, 9344/6451 is 128/2851342.