GCF of 4634/482, 5096/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4634/482, 5096/517 i.e 14/249194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4634/482, 5096/517.
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 4634/482,5096/517?
Given fractions are 4634/482,5096/517
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 4634/482,5096/517, numerators are 4634,5096
Denominators are 482,517
The GCF of 4634,5096 is 14 .
LCM of 482,517 is 249194.
The greatest common factor of 4634/482,5096/517 = [GCF of 4634,5096]/[LCM of 482,517]= 14/249194
Therefore, the GCF of 4634/482,5096/517 is 14/249194.
To find the highest common factor of 4634,5096, we have to find the factors of both numbers and list the highest common factor.
The factors of 4634 are 1, 2, 7, 14, 331, 662, 2317, 4634
The factors of 5096 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548, 5096
The HCF of 4634,5096 is 14.
Lets's calculate GCF of 4634,5096
| 2 | 4634, 5096 |
| 7 | 2317, 2548 |
| 331, 364 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 4634,5096 By Matching Biggest Common Factor Method
Now, list down the factors of 4634
:1,2,7,14,331,662,2317,4634
Now, list down the factors of 5096
:1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096
Greatest Common Factor
We found the factors 4634,5096 . The biggest common factor number is the GCF number.
So the greatest common factor 4634,5096 is 14.
Lets's calculate LCM of 482,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 249194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/249194
Therefore, the GCF of Fractions 4634/482,5096/517 is 14/249194
Least Common Multiple of 482,517 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 482,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(482,517) x common factors =1 x 1 = 1
LCM(482,517) = ( 482 × 517 ) / 1
LCM(482,517) = 249194 / 1
LCM(482,517) = 249194
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FAQs on GCF of Fractions of 4634/482, 5096/517
1. What is the HCF of 4634,5096?
The HCF of 4634,5096 is 14
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 4634/482, 5096/517?
Answer: GCF of Numerators as per given numbers 4634/482, 5096/517 is
GCF of Numerators i.e. for 4634,5096 is 14
LCM of denominators i.e. for 482,517 is 249194.
Thus, GCF of Fractions is 14/249194.Finally, GCF of Fractions for 4634/482, 5096/517 is 14/249194.