GCF of 9108/110, 6663/9754
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9108/110, 6663/9754 i.e 3/536470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9108/110, 6663/9754.
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 9108/110,6663/9754?
Given fractions are 9108/110,6663/9754
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 9108/110,6663/9754, numerators are 9108,6663
Denominators are 110,9754
The GCF of 9108,6663 is 3 .
LCM of 110,9754 is 536470.
The greatest common factor of 9108/110,6663/9754 = [GCF of 9108,6663]/[LCM of 110,9754]= 3/536470
Therefore, the GCF of 9108/110,6663/9754 is 3/536470.
To find the highest common factor of 9108,6663, 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 6663 are 1, 3, 2221, 6663
The HCF of 9108,6663 is 3.
Lets's calculate GCF of 9108,6663
| 3 | 9108, 6663 |
| 3036, 2221 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9108,6663 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 6663
:1,3,2221,6663
Greatest Common Factor
We found the factors 9108,6663 . The biggest common factor number is the GCF number.
So the greatest common factor 9108,6663 is 3.
Lets's calculate LCM of 110,9754
| 2 | 110, 9754 |
| 55, 4877 |
∴ So the LCM of the given numbers is 2 x 55 x 4877 = 536470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/536470
Therefore, the GCF of Fractions 9108/110,6663/9754 is 3/536470
Least Common Multiple of 110,9754 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 110,9754 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,9754) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(110,9754) x common factors =2 x 1 = 2
LCM(110,9754) = ( 110 × 9754 ) / 2
LCM(110,9754) = 1072940 / 2
LCM(110,9754) = 536470
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FAQs on GCF of Fractions of 9108/110, 6663/9754
1. What is the HCF of 9108,6663?
The HCF of 9108,6663 is 3
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 9108/110, 6663/9754?
Answer: GCF of Numerators as per given numbers 9108/110, 6663/9754 is
GCF of Numerators i.e. for 9108,6663 is 3
LCM of denominators i.e. for 110,9754 is 536470.
Thus, GCF of Fractions is 3/536470.Finally, GCF of Fractions for 9108/110, 6663/9754 is 3/536470.