GCF of 4768/509, 5334/219
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4768/509, 5334/219 i.e 2/111471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4768/509, 5334/219.
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 4768/509,5334/219?
Given fractions are 4768/509,5334/219
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 4768/509,5334/219, numerators are 4768,5334
Denominators are 509,219
The GCF of 4768,5334 is 2 .
LCM of 509,219 is 111471.
The greatest common factor of 4768/509,5334/219 = [GCF of 4768,5334]/[LCM of 509,219]= 2/111471
Therefore, the GCF of 4768/509,5334/219 is 2/111471.
To find the highest common factor of 4768,5334, we have to find the factors of both numbers and list the highest common factor.
The factors of 4768 are 1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768
The factors of 5334 are 1, 2, 3, 6, 7, 14, 21, 42, 127, 254, 381, 762, 889, 1778, 2667, 5334
The HCF of 4768,5334 is 2.
Lets's calculate GCF of 4768,5334
| 2 | 4768, 5334 |
| 2384, 2667 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4768,5334 By Matching Biggest Common Factor Method
Now, list down the factors of 4768
:1,2,4,8,16,32,149,298,596,1192,2384,4768
Now, list down the factors of 5334
:1,2,3,6,7,14,21,42,127,254,381,762,889,1778,2667,5334
Greatest Common Factor
We found the factors 4768,5334 . The biggest common factor number is the GCF number.
So the greatest common factor 4768,5334 is 2.
Lets's calculate LCM of 509,219
Given numbers has no common factors except 1. So, there LCM is their product i.e 111471
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/111471
Therefore, the GCF of Fractions 4768/509,5334/219 is 2/111471
Least Common Multiple of 509,219 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 509,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,219) x common factors =1 x 1 = 1
LCM(509,219) = ( 509 × 219 ) / 1
LCM(509,219) = 111471 / 1
LCM(509,219) = 111471
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FAQs on GCF of Fractions of 4768/509, 5334/219
1. What is the HCF of 4768,5334?
The HCF of 4768,5334 is 2
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 4768/509, 5334/219?
Answer: GCF of Numerators as per given numbers 4768/509, 5334/219 is
GCF of Numerators i.e. for 4768,5334 is 2
LCM of denominators i.e. for 509,219 is 111471.
Thus, GCF of Fractions is 2/111471.Finally, GCF of Fractions for 4768/509, 5334/219 is 2/111471.