GCF of 5112/534, 9798/2976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5112/534, 9798/2976 i.e 426/264864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5112/534, 9798/2976.
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 5112/534,9798/2976?
Given fractions are 5112/534,9798/2976
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 5112/534,9798/2976, numerators are 5112,9798
Denominators are 534,2976
The GCF of 5112,9798 is 426 .
LCM of 534,2976 is 264864.
The greatest common factor of 5112/534,9798/2976 = [GCF of 5112,9798]/[LCM of 534,2976]= 426/264864
Therefore, the GCF of 5112/534,9798/2976 is 426/264864.
To find the highest common factor of 5112,9798, we have to find the factors of both numbers and list the highest common factor.
The factors of 5112 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112
The factors of 9798 are 1, 2, 3, 6, 23, 46, 69, 71, 138, 142, 213, 426, 1633, 3266, 4899, 9798
The HCF of 5112,9798 is 426.
Lets's calculate GCF of 5112,9798
| 2 | 5112, 9798 |
| 3 | 2556, 4899 |
| 71 | 852, 1633 |
| 12, 23 |
∴ So the GCF of the given numbers is 2 x 3 x 71 = 426
Greatest Common Factor of 5112,9798 By Matching Biggest Common Factor Method
Now, list down the factors of 5112
:1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112
Now, list down the factors of 9798
:1,2,3,6,23,46,69,71,138,142,213,426,1633,3266,4899,9798
Greatest Common Factor
We found the factors 5112,9798 . The biggest common factor number is the GCF number.
So the greatest common factor 5112,9798 is 426.
Lets's calculate LCM of 534,2976
| 2 | 534, 2976 |
| 3 | 267, 1488 |
| 89, 496 |
∴ So the LCM of the given numbers is 2 x 3 x 89 x 496 = 264864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 426/264864
Therefore, the GCF of Fractions 5112/534,9798/2976 is 426/264864
Least Common Multiple of 534,2976 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 534,2976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,2976) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(534,2976) x common factors =6 x 1 = 6
LCM(534,2976) = ( 534 × 2976 ) / 6
LCM(534,2976) = 1589184 / 6
LCM(534,2976) = 264864
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FAQs on GCF of Fractions of 5112/534, 9798/2976
1. What is the HCF of 5112,9798?
The HCF of 5112,9798 is 426
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 5112/534, 9798/2976?
Answer: GCF of Numerators as per given numbers 5112/534, 9798/2976 is
GCF of Numerators i.e. for 5112,9798 is 426
LCM of denominators i.e. for 534,2976 is 264864.
Thus, GCF of Fractions is 426/264864.Finally, GCF of Fractions for 5112/534, 9798/2976 is 426/264864.