GCF of 9950/459, 6872/9214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9950/459, 6872/9214 i.e 2/248778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9950/459, 6872/9214.
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 9950/459,6872/9214?
Given fractions are 9950/459,6872/9214
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 9950/459,6872/9214, numerators are 9950,6872
Denominators are 459,9214
The GCF of 9950,6872 is 2 .
LCM of 459,9214 is 248778.
The greatest common factor of 9950/459,6872/9214 = [GCF of 9950,6872]/[LCM of 459,9214]= 2/248778
Therefore, the GCF of 9950/459,6872/9214 is 2/248778.
To find the highest common factor of 9950,6872, we have to find the factors of both numbers and list the highest common factor.
The factors of 9950 are 1, 2, 5, 10, 25, 50, 199, 398, 995, 1990, 4975, 9950
The factors of 6872 are 1, 2, 4, 8, 859, 1718, 3436, 6872
The HCF of 9950,6872 is 2.
Lets's calculate GCF of 9950,6872
| 2 | 9950, 6872 |
| 4975, 3436 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9950,6872 By Matching Biggest Common Factor Method
Now, list down the factors of 9950
:1,2,5,10,25,50,199,398,995,1990,4975,9950
Now, list down the factors of 6872
:1,2,4,8,859,1718,3436,6872
Greatest Common Factor
We found the factors 9950,6872 . The biggest common factor number is the GCF number.
So the greatest common factor 9950,6872 is 2.
Lets's calculate LCM of 459,9214
| 17 | 459, 9214 |
| 27, 542 |
∴ So the LCM of the given numbers is 17 x 27 x 542 = 248778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/248778
Therefore, the GCF of Fractions 9950/459,6872/9214 is 2/248778
Least Common Multiple of 459,9214 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 459,9214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,9214) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(459,9214) x common factors =17 x 1 = 17
LCM(459,9214) = ( 459 × 9214 ) / 17
LCM(459,9214) = 4229226 / 17
LCM(459,9214) = 248778
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FAQs on GCF of Fractions of 9950/459, 6872/9214
1. What is the HCF of 9950,6872?
The HCF of 9950,6872 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 9950/459, 6872/9214?
Answer: GCF of Numerators as per given numbers 9950/459, 6872/9214 is
GCF of Numerators i.e. for 9950,6872 is 2
LCM of denominators i.e. for 459,9214 is 248778.
Thus, GCF of Fractions is 2/248778.Finally, GCF of Fractions for 9950/459, 6872/9214 is 2/248778.