GCF of 8496/519, 4614/498
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8496/519, 4614/498 i.e 6/86154 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8496/519, 4614/498.
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 8496/519,4614/498?
Given fractions are 8496/519,4614/498
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 8496/519,4614/498, numerators are 8496,4614
Denominators are 519,498
The GCF of 8496,4614 is 6 .
LCM of 519,498 is 86154.
The greatest common factor of 8496/519,4614/498 = [GCF of 8496,4614]/[LCM of 519,498]= 6/86154
Therefore, the GCF of 8496/519,4614/498 is 6/86154.
To find the highest common factor of 8496,4614, we have to find the factors of both numbers and list the highest common factor.
The factors of 8496 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 59, 72, 118, 144, 177, 236, 354, 472, 531, 708, 944, 1062, 1416, 2124, 2832, 4248, 8496
The factors of 4614 are 1, 2, 3, 6, 769, 1538, 2307, 4614
The HCF of 8496,4614 is 6.
Lets's calculate GCF of 8496,4614
| 2 | 8496, 4614 |
| 3 | 4248, 2307 |
| 1416, 769 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8496,4614 By Matching Biggest Common Factor Method
Now, list down the factors of 8496
:1,2,3,4,6,8,9,12,16,18,24,36,48,59,72,118,144,177,236,354,472,531,708,944,1062,1416,2124,2832,4248,8496
Now, list down the factors of 4614
:1,2,3,6,769,1538,2307,4614
Greatest Common Factor
We found the factors 8496,4614 . The biggest common factor number is the GCF number.
So the greatest common factor 8496,4614 is 6.
Lets's calculate LCM of 519,498
| 3 | 519, 498 |
| 173, 166 |
∴ So the LCM of the given numbers is 3 x 173 x 166 = 86154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/86154
Therefore, the GCF of Fractions 8496/519,4614/498 is 6/86154
Least Common Multiple of 519,498 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 519,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,498) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,498) x common factors =3 x 1 = 3
LCM(519,498) = ( 519 × 498 ) / 3
LCM(519,498) = 258462 / 3
LCM(519,498) = 86154
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FAQs on GCF of Fractions of 8496/519, 4614/498
1. What is the HCF of 8496,4614?
The HCF of 8496,4614 is 6
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 8496/519, 4614/498?
Answer: GCF of Numerators as per given numbers 8496/519, 4614/498 is
GCF of Numerators i.e. for 8496,4614 is 6
LCM of denominators i.e. for 519,498 is 86154.
Thus, GCF of Fractions is 6/86154.Finally, GCF of Fractions for 8496/519, 4614/498 is 6/86154.