GCF of 6072/792, 6784/9669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6072/792, 6784/9669 i.e 8/232056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6072/792, 6784/9669.
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 6072/792,6784/9669?
Given fractions are 6072/792,6784/9669
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 6072/792,6784/9669, numerators are 6072,6784
Denominators are 792,9669
The GCF of 6072,6784 is 8 .
LCM of 792,9669 is 232056.
The greatest common factor of 6072/792,6784/9669 = [GCF of 6072,6784]/[LCM of 792,9669]= 8/232056
Therefore, the GCF of 6072/792,6784/9669 is 8/232056.
To find the highest common factor of 6072,6784, we have to find the factors of both numbers and list the highest common factor.
The factors of 6072 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072
The factors of 6784 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 128, 212, 424, 848, 1696, 3392, 6784
The HCF of 6072,6784 is 8.
Lets's calculate GCF of 6072,6784
| 2 | 6072, 6784 |
| 2 | 3036, 3392 |
| 2 | 1518, 1696 |
| 759, 848 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 6072,6784 By Matching Biggest Common Factor Method
Now, list down the factors of 6072
:1,2,3,4,6,8,11,12,22,23,24,33,44,46,66,69,88,92,132,138,184,253,264,276,506,552,759,1012,1518,2024,3036,6072
Now, list down the factors of 6784
:1,2,4,8,16,32,53,64,106,128,212,424,848,1696,3392,6784
Greatest Common Factor
We found the factors 6072,6784 . The biggest common factor number is the GCF number.
So the greatest common factor 6072,6784 is 8.
Lets's calculate LCM of 792,9669
| 3 | 792, 9669 |
| 11 | 264, 3223 |
| 24, 293 |
∴ So the LCM of the given numbers is 3 x 11 x 24 x 293 = 232056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/232056
Therefore, the GCF of Fractions 6072/792,6784/9669 is 8/232056
Least Common Multiple of 792,9669 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 792,9669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,9669) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(792,9669) x common factors =33 x 1 = 33
LCM(792,9669) = ( 792 × 9669 ) / 33
LCM(792,9669) = 7657848 / 33
LCM(792,9669) = 232056
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FAQs on GCF of Fractions of 6072/792, 6784/9669
1. What is the HCF of 6072,6784?
The HCF of 6072,6784 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 6072/792, 6784/9669?
Answer: GCF of Numerators as per given numbers 6072/792, 6784/9669 is
GCF of Numerators i.e. for 6072,6784 is 8
LCM of denominators i.e. for 792,9669 is 232056.
Thus, GCF of Fractions is 8/232056.Finally, GCF of Fractions for 6072/792, 6784/9669 is 8/232056.