GCF of 6519/711, 4788/7536
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6519/711, 4788/7536 i.e 3/1786032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6519/711, 4788/7536.
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 6519/711,4788/7536?
Given fractions are 6519/711,4788/7536
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 6519/711,4788/7536, numerators are 6519,4788
Denominators are 711,7536
The GCF of 6519,4788 is 3 .
LCM of 711,7536 is 1786032.
The greatest common factor of 6519/711,4788/7536 = [GCF of 6519,4788]/[LCM of 711,7536]= 3/1786032
Therefore, the GCF of 6519/711,4788/7536 is 3/1786032.
To find the highest common factor of 6519,4788, we have to find the factors of both numbers and list the highest common factor.
The factors of 6519 are 1, 3, 41, 53, 123, 159, 2173, 6519
The factors of 4788 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 19, 21, 28, 36, 38, 42, 57, 63, 76, 84, 114, 126, 133, 171, 228, 252, 266, 342, 399, 532, 684, 798, 1197, 1596, 2394, 4788
The HCF of 6519,4788 is 3.
Lets's calculate GCF of 6519,4788
| 3 | 6519, 4788 |
| 2173, 1596 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6519,4788 By Matching Biggest Common Factor Method
Now, list down the factors of 6519
:1,3,41,53,123,159,2173,6519
Now, list down the factors of 4788
:1,2,3,4,6,7,9,12,14,18,19,21,28,36,38,42,57,63,76,84,114,126,133,171,228,252,266,342,399,532,684,798,1197,1596,2394,4788
Greatest Common Factor
We found the factors 6519,4788 . The biggest common factor number is the GCF number.
So the greatest common factor 6519,4788 is 3.
Lets's calculate LCM of 711,7536
| 3 | 711, 7536 |
| 237, 2512 |
∴ So the LCM of the given numbers is 3 x 237 x 2512 = 1786032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1786032
Therefore, the GCF of Fractions 6519/711,4788/7536 is 3/1786032
Least Common Multiple of 711,7536 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 711,7536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,7536) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(711,7536) x common factors =3 x 1 = 3
LCM(711,7536) = ( 711 × 7536 ) / 3
LCM(711,7536) = 5358096 / 3
LCM(711,7536) = 1786032
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FAQs on GCF of Fractions of 6519/711, 4788/7536
1. What is the HCF of 6519,4788?
The HCF of 6519,4788 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 6519/711, 4788/7536?
Answer: GCF of Numerators as per given numbers 6519/711, 4788/7536 is
GCF of Numerators i.e. for 6519,4788 is 3
LCM of denominators i.e. for 711,7536 is 1786032.
Thus, GCF of Fractions is 3/1786032.Finally, GCF of Fractions for 6519/711, 4788/7536 is 3/1786032.