GCF of 9108/856, 2784/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9108/856, 2784/120 i.e 12/12840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9108/856, 2784/120.
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 9108/856,2784/120?
Given fractions are 9108/856,2784/120
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 9108/856,2784/120, numerators are 9108,2784
Denominators are 856,120
The GCF of 9108,2784 is 12 .
LCM of 856,120 is 12840.
The greatest common factor of 9108/856,2784/120 = [GCF of 9108,2784]/[LCM of 856,120]= 12/12840
Therefore, the GCF of 9108/856,2784/120 is 12/12840.
To find the highest common factor of 9108,2784, we have to find the factors of both numbers and list the highest common factor.
The factors of 9108 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108
The factors of 2784 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392, 2784
The HCF of 9108,2784 is 12.
Lets's calculate GCF of 9108,2784
| 2 | 9108, 2784 |
| 2 | 4554, 1392 |
| 3 | 2277, 696 |
| 759, 232 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9108,2784 By Matching Biggest Common Factor Method
Now, list down the factors of 9108
:1,2,3,4,6,9,11,12,18,22,23,33,36,44,46,66,69,92,99,132,138,198,207,253,276,396,414,506,759,828,1012,1518,2277,3036,4554,9108
Now, list down the factors of 2784
:1,2,3,4,6,8,12,16,24,29,32,48,58,87,96,116,174,232,348,464,696,928,1392,2784
Greatest Common Factor
We found the factors 9108,2784 . The biggest common factor number is the GCF number.
So the greatest common factor 9108,2784 is 12.
Lets's calculate LCM of 856,120
| 2 | 856, 120 |
| 2 | 428, 60 |
| 2 | 214, 30 |
| 107, 15 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 107 x 15 = 12840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/12840
Therefore, the GCF of Fractions 9108/856,2784/120 is 12/12840
Least Common Multiple of 856,120 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 856,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,120) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(856,120) x common factors =8 x 1 = 8
LCM(856,120) = ( 856 × 120 ) / 8
LCM(856,120) = 102720 / 8
LCM(856,120) = 12840
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FAQs on GCF of Fractions of 9108/856, 2784/120
1. What is the HCF of 9108,2784?
The HCF of 9108,2784 is 12
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 9108/856, 2784/120?
Answer: GCF of Numerators as per given numbers 9108/856, 2784/120 is
GCF of Numerators i.e. for 9108,2784 is 12
LCM of denominators i.e. for 856,120 is 12840.
Thus, GCF of Fractions is 12/12840.Finally, GCF of Fractions for 9108/856, 2784/120 is 12/12840.