GCF of 6063/632, 9108/6038
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6063/632, 9108/6038 i.e 3/1908008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6063/632, 9108/6038.
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 6063/632,9108/6038?
Given fractions are 6063/632,9108/6038
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 6063/632,9108/6038, numerators are 6063,9108
Denominators are 632,6038
The GCF of 6063,9108 is 3 .
LCM of 632,6038 is 1908008.
The greatest common factor of 6063/632,9108/6038 = [GCF of 6063,9108]/[LCM of 632,6038]= 3/1908008
Therefore, the GCF of 6063/632,9108/6038 is 3/1908008.
To find the highest common factor of 6063,9108, we have to find the factors of both numbers and list the highest common factor.
The factors of 6063 are 1, 3, 43, 47, 129, 141, 2021, 6063
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 HCF of 6063,9108 is 3.
Lets's calculate GCF of 6063,9108
| 3 | 6063, 9108 |
| 2021, 3036 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6063,9108 By Matching Biggest Common Factor Method
Now, list down the factors of 6063
:1,3,43,47,129,141,2021,6063
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
Greatest Common Factor
We found the factors 6063,9108 . The biggest common factor number is the GCF number.
So the greatest common factor 6063,9108 is 3.
Lets's calculate LCM of 632,6038
| 2 | 632, 6038 |
| 316, 3019 |
∴ So the LCM of the given numbers is 2 x 316 x 3019 = 1908008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1908008
Therefore, the GCF of Fractions 6063/632,9108/6038 is 3/1908008
Least Common Multiple of 632,6038 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 632,6038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,6038) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(632,6038) x common factors =2 x 1 = 2
LCM(632,6038) = ( 632 × 6038 ) / 2
LCM(632,6038) = 3816016 / 2
LCM(632,6038) = 1908008
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FAQs on GCF of Fractions of 6063/632, 9108/6038
1. What is the HCF of 6063,9108?
The HCF of 6063,9108 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 6063/632, 9108/6038?
Answer: GCF of Numerators as per given numbers 6063/632, 9108/6038 is
GCF of Numerators i.e. for 6063,9108 is 3
LCM of denominators i.e. for 632,6038 is 1908008.
Thus, GCF of Fractions is 3/1908008.Finally, GCF of Fractions for 6063/632, 9108/6038 is 3/1908008.