GCF of 4788/509, 4449/6516
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4788/509, 4449/6516 i.e 3/3316644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4788/509, 4449/6516.
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 4788/509,4449/6516?
Given fractions are 4788/509,4449/6516
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 4788/509,4449/6516, numerators are 4788,4449
Denominators are 509,6516
The GCF of 4788,4449 is 3 .
LCM of 509,6516 is 3316644.
The greatest common factor of 4788/509,4449/6516 = [GCF of 4788,4449]/[LCM of 509,6516]= 3/3316644
Therefore, the GCF of 4788/509,4449/6516 is 3/3316644.
To find the highest common factor of 4788,4449, we have to find the factors of both numbers and list the highest common factor.
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 factors of 4449 are 1, 3, 1483, 4449
The HCF of 4788,4449 is 3.
Lets's calculate GCF of 4788,4449
| 3 | 4788, 4449 |
| 1596, 1483 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4788,4449 By Matching Biggest Common Factor Method
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
Now, list down the factors of 4449
:1,3,1483,4449
Greatest Common Factor
We found the factors 4788,4449 . The biggest common factor number is the GCF number.
So the greatest common factor 4788,4449 is 3.
Lets's calculate LCM of 509,6516
Given numbers has no common factors except 1. So, there LCM is their product i.e 3316644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3316644
Therefore, the GCF of Fractions 4788/509,4449/6516 is 3/3316644
Least Common Multiple of 509,6516 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 509,6516 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,6516) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,6516) x common factors =1 x 1 = 1
LCM(509,6516) = ( 509 × 6516 ) / 1
LCM(509,6516) = 3316644 / 1
LCM(509,6516) = 3316644
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FAQs on GCF of Fractions of 4788/509, 4449/6516
1. What is the HCF of 4788,4449?
The HCF of 4788,4449 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 4788/509, 4449/6516?
Answer: GCF of Numerators as per given numbers 4788/509, 4449/6516 is
GCF of Numerators i.e. for 4788,4449 is 3
LCM of denominators i.e. for 509,6516 is 3316644.
Thus, GCF of Fractions is 3/3316644.Finally, GCF of Fractions for 4788/509, 4449/6516 is 3/3316644.