GCF of 9477/452, 6816/8542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9477/452, 6816/8542 i.e 3/1930492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9477/452, 6816/8542.
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 9477/452,6816/8542?
Given fractions are 9477/452,6816/8542
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 9477/452,6816/8542, numerators are 9477,6816
Denominators are 452,8542
The GCF of 9477,6816 is 3 .
LCM of 452,8542 is 1930492.
The greatest common factor of 9477/452,6816/8542 = [GCF of 9477,6816]/[LCM of 452,8542]= 3/1930492
Therefore, the GCF of 9477/452,6816/8542 is 3/1930492.
To find the highest common factor of 9477,6816, we have to find the factors of both numbers and list the highest common factor.
The factors of 9477 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 3159, 9477
The factors of 6816 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816
The HCF of 9477,6816 is 3.
Lets's calculate GCF of 9477,6816
| 3 | 9477, 6816 |
| 3159, 2272 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9477,6816 By Matching Biggest Common Factor Method
Now, list down the factors of 9477
:1,3,9,13,27,39,81,117,243,351,729,1053,3159,9477
Now, list down the factors of 6816
:1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816
Greatest Common Factor
We found the factors 9477,6816 . The biggest common factor number is the GCF number.
So the greatest common factor 9477,6816 is 3.
Lets's calculate LCM of 452,8542
| 2 | 452, 8542 |
| 226, 4271 |
∴ So the LCM of the given numbers is 2 x 226 x 4271 = 1930492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1930492
Therefore, the GCF of Fractions 9477/452,6816/8542 is 3/1930492
Least Common Multiple of 452,8542 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 452,8542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,8542) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(452,8542) x common factors =2 x 1 = 2
LCM(452,8542) = ( 452 × 8542 ) / 2
LCM(452,8542) = 3860984 / 2
LCM(452,8542) = 1930492
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FAQs on GCF of Fractions of 9477/452, 6816/8542
1. What is the HCF of 9477,6816?
The HCF of 9477,6816 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 9477/452, 6816/8542?
Answer: GCF of Numerators as per given numbers 9477/452, 6816/8542 is
GCF of Numerators i.e. for 9477,6816 is 3
LCM of denominators i.e. for 452,8542 is 1930492.
Thus, GCF of Fractions is 3/1930492.Finally, GCF of Fractions for 9477/452, 6816/8542 is 3/1930492.