GCF of 6498/457, 7296/4347
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6498/457, 7296/4347 i.e 114/1986579 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6498/457, 7296/4347.
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 6498/457,7296/4347?
Given fractions are 6498/457,7296/4347
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 6498/457,7296/4347, numerators are 6498,7296
Denominators are 457,4347
The GCF of 6498,7296 is 114 .
LCM of 457,4347 is 1986579.
The greatest common factor of 6498/457,7296/4347 = [GCF of 6498,7296]/[LCM of 457,4347]= 114/1986579
Therefore, the GCF of 6498/457,7296/4347 is 114/1986579.
To find the highest common factor of 6498,7296, we have to find the factors of both numbers and list the highest common factor.
The factors of 6498 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342, 361, 722, 1083, 2166, 3249, 6498
The factors of 7296 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 304, 384, 456, 608, 912, 1216, 1824, 2432, 3648, 7296
The HCF of 6498,7296 is 114.
Lets's calculate GCF of 6498,7296
| 2 | 6498, 7296 |
| 3 | 3249, 3648 |
| 19 | 1083, 1216 |
| 57, 64 |
∴ So the GCF of the given numbers is 2 x 3 x 19 = 114
Greatest Common Factor of 6498,7296 By Matching Biggest Common Factor Method
Now, list down the factors of 6498
:1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498
Now, list down the factors of 7296
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,128,152,192,228,304,384,456,608,912,1216,1824,2432,3648,7296
Greatest Common Factor
We found the factors 6498,7296 . The biggest common factor number is the GCF number.
So the greatest common factor 6498,7296 is 114.
Lets's calculate LCM of 457,4347
Given numbers has no common factors except 1. So, there LCM is their product i.e 1986579
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 114/1986579
Therefore, the GCF of Fractions 6498/457,7296/4347 is 114/1986579
Least Common Multiple of 457,4347 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 457,4347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,4347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,4347) x common factors =1 x 1 = 1
LCM(457,4347) = ( 457 × 4347 ) / 1
LCM(457,4347) = 1986579 / 1
LCM(457,4347) = 1986579
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FAQs on GCF of Fractions of 6498/457, 7296/4347
1. What is the HCF of 6498,7296?
The HCF of 6498,7296 is 114
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 6498/457, 7296/4347?
Answer: GCF of Numerators as per given numbers 6498/457, 7296/4347 is
GCF of Numerators i.e. for 6498,7296 is 114
LCM of denominators i.e. for 457,4347 is 1986579.
Thus, GCF of Fractions is 114/1986579.Finally, GCF of Fractions for 6498/457, 7296/4347 is 114/1986579.