GCF of 9926/247, 5200/969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9926/247, 5200/969 i.e 2/12597 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9926/247, 5200/969.
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 9926/247,5200/969?
Given fractions are 9926/247,5200/969
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 9926/247,5200/969, numerators are 9926,5200
Denominators are 247,969
The GCF of 9926,5200 is 2 .
LCM of 247,969 is 12597.
The greatest common factor of 9926/247,5200/969 = [GCF of 9926,5200]/[LCM of 247,969]= 2/12597
Therefore, the GCF of 9926/247,5200/969 is 2/12597.
To find the highest common factor of 9926,5200, we have to find the factors of both numbers and list the highest common factor.
The factors of 9926 are 1, 2, 7, 14, 709, 1418, 4963, 9926
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 9926,5200 is 2.
Lets's calculate GCF of 9926,5200
| 2 | 9926, 5200 |
| 4963, 2600 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9926,5200 By Matching Biggest Common Factor Method
Now, list down the factors of 9926
:1,2,7,14,709,1418,4963,9926
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 9926,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 9926,5200 is 2.
Lets's calculate LCM of 247,969
| 19 | 247, 969 |
| 13, 51 |
∴ So the LCM of the given numbers is 19 x 13 x 51 = 12597
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12597
Therefore, the GCF of Fractions 9926/247,5200/969 is 2/12597
Least Common Multiple of 247,969 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 247,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,969) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(247,969) x common factors =19 x 1 = 19
LCM(247,969) = ( 247 × 969 ) / 19
LCM(247,969) = 239343 / 19
LCM(247,969) = 12597
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FAQs on GCF of Fractions of 9926/247, 5200/969
1. What is the HCF of 9926,5200?
The HCF of 9926,5200 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 9926/247, 5200/969?
Answer: GCF of Numerators as per given numbers 9926/247, 5200/969 is
GCF of Numerators i.e. for 9926,5200 is 2
LCM of denominators i.e. for 247,969 is 12597.
Thus, GCF of Fractions is 2/12597.Finally, GCF of Fractions for 9926/247, 5200/969 is 2/12597.