GCF of 5200/357, 4849/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5200/357, 4849/644 i.e 13/32844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5200/357, 4849/644.
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 5200/357,4849/644?
Given fractions are 5200/357,4849/644
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 5200/357,4849/644, numerators are 5200,4849
Denominators are 357,644
The GCF of 5200,4849 is 13 .
LCM of 357,644 is 32844.
The greatest common factor of 5200/357,4849/644 = [GCF of 5200,4849]/[LCM of 357,644]= 13/32844
Therefore, the GCF of 5200/357,4849/644 is 13/32844.
To find the highest common factor of 5200,4849, we have to find the factors of both numbers and list the highest common factor.
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 factors of 4849 are 1, 13, 373, 4849
The HCF of 5200,4849 is 13.
Lets's calculate GCF of 5200,4849
| 13 | 5200, 4849 |
| 400, 373 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5200,4849 By Matching Biggest Common Factor Method
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
Now, list down the factors of 4849
:1,13,373,4849
Greatest Common Factor
We found the factors 5200,4849 . The biggest common factor number is the GCF number.
So the greatest common factor 5200,4849 is 13.
Lets's calculate LCM of 357,644
| 7 | 357, 644 |
| 51, 92 |
∴ So the LCM of the given numbers is 7 x 51 x 92 = 32844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/32844
Therefore, the GCF of Fractions 5200/357,4849/644 is 13/32844
Least Common Multiple of 357,644 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 357,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(357,644) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(357,644) x common factors =7 x 1 = 7
LCM(357,644) = ( 357 × 644 ) / 7
LCM(357,644) = 229908 / 7
LCM(357,644) = 32844
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FAQs on GCF of Fractions of 5200/357, 4849/644
1. What is the HCF of 5200,4849?
The HCF of 5200,4849 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 5200/357, 4849/644?
Answer: GCF of Numerators as per given numbers 5200/357, 4849/644 is
GCF of Numerators i.e. for 5200,4849 is 13
LCM of denominators i.e. for 357,644 is 32844.
Thus, GCF of Fractions is 13/32844.Finally, GCF of Fractions for 5200/357, 4849/644 is 13/32844.