GCF of 6912/441, 3168/9974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6912/441, 3168/9974 i.e 288/4398534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6912/441, 3168/9974.
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 6912/441,3168/9974?
Given fractions are 6912/441,3168/9974
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 6912/441,3168/9974, numerators are 6912,3168
Denominators are 441,9974
The GCF of 6912,3168 is 288 .
LCM of 441,9974 is 4398534.
The greatest common factor of 6912/441,3168/9974 = [GCF of 6912,3168]/[LCM of 441,9974]= 288/4398534
Therefore, the GCF of 6912/441,3168/9974 is 288/4398534.
To find the highest common factor of 6912,3168, we have to find the factors of both numbers and list the highest common factor.
The factors of 6912 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 96, 108, 128, 144, 192, 216, 256, 288, 384, 432, 576, 768, 864, 1152, 1728, 2304, 3456, 6912
The factors of 3168 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 66, 72, 88, 96, 99, 132, 144, 176, 198, 264, 288, 352, 396, 528, 792, 1056, 1584, 3168
The HCF of 6912,3168 is 288.
Lets's calculate GCF of 6912,3168
| 2 | 6912, 3168 |
| 2 | 3456, 1584 |
| 2 | 1728, 792 |
| 2 | 864, 396 |
| 2 | 432, 198 |
| 3 | 216, 99 |
| 3 | 72, 33 |
| 24, 11 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 3 = 288
Greatest Common Factor of 6912,3168 By Matching Biggest Common Factor Method
Now, list down the factors of 6912
:1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912
Now, list down the factors of 3168
:1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,66,72,88,96,99,132,144,176,198,264,288,352,396,528,792,1056,1584,3168
Greatest Common Factor
We found the factors 6912,3168 . The biggest common factor number is the GCF number.
So the greatest common factor 6912,3168 is 288.
Lets's calculate LCM of 441,9974
Given numbers has no common factors except 1. So, there LCM is their product i.e 4398534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 288/4398534
Therefore, the GCF of Fractions 6912/441,3168/9974 is 288/4398534
Least Common Multiple of 441,9974 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 441,9974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,9974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(441,9974) x common factors =1 x 1 = 1
LCM(441,9974) = ( 441 × 9974 ) / 1
LCM(441,9974) = 4398534 / 1
LCM(441,9974) = 4398534
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FAQs on GCF of Fractions of 6912/441, 3168/9974
1. What is the HCF of 6912,3168?
The HCF of 6912,3168 is 288
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 6912/441, 3168/9974?
Answer: GCF of Numerators as per given numbers 6912/441, 3168/9974 is
GCF of Numerators i.e. for 6912,3168 is 288
LCM of denominators i.e. for 441,9974 is 4398534.
Thus, GCF of Fractions is 288/4398534.Finally, GCF of Fractions for 6912/441, 3168/9974 is 288/4398534.