GCF of 4381/134, 5200/4616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4381/134, 5200/4616 i.e 13/309272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4381/134, 5200/4616.
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 4381/134,5200/4616?
Given fractions are 4381/134,5200/4616
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 4381/134,5200/4616, numerators are 4381,5200
Denominators are 134,4616
The GCF of 4381,5200 is 13 .
LCM of 134,4616 is 309272.
The greatest common factor of 4381/134,5200/4616 = [GCF of 4381,5200]/[LCM of 134,4616]= 13/309272
Therefore, the GCF of 4381/134,5200/4616 is 13/309272.
To find the highest common factor of 4381,5200, we have to find the factors of both numbers and list the highest common factor.
The factors of 4381 are 1, 13, 337, 4381
The factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200
The HCF of 4381,5200 is 13.
Lets's calculate GCF of 4381,5200
| 13 | 4381, 5200 |
| 337, 400 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4381,5200 By Matching Biggest Common Factor Method
Now, list down the factors of 4381
:1,13,337,4381
Now, list down the factors of 5200
:1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200
Greatest Common Factor
We found the factors 4381,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 4381,5200 is 13.
Lets's calculate LCM of 134,4616
| 2 | 134, 4616 |
| 67, 2308 |
∴ So the LCM of the given numbers is 2 x 67 x 2308 = 309272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/309272
Therefore, the GCF of Fractions 4381/134,5200/4616 is 13/309272
Least Common Multiple of 134,4616 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 134,4616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,4616) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(134,4616) x common factors =2 x 1 = 2
LCM(134,4616) = ( 134 × 4616 ) / 2
LCM(134,4616) = 618544 / 2
LCM(134,4616) = 309272
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FAQs on GCF of Fractions of 4381/134, 5200/4616
1. What is the HCF of 4381,5200?
The HCF of 4381,5200 is 13
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 4381/134, 5200/4616?
Answer: GCF of Numerators as per given numbers 4381/134, 5200/4616 is
GCF of Numerators i.e. for 4381,5200 is 13
LCM of denominators i.e. for 134,4616 is 309272.
Thus, GCF of Fractions is 13/309272.Finally, GCF of Fractions for 4381/134, 5200/4616 is 13/309272.