GCF of 8450/192, 9950/243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8450/192, 9950/243 i.e 50/15552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8450/192, 9950/243.
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 8450/192,9950/243?
Given fractions are 8450/192,9950/243
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 8450/192,9950/243, numerators are 8450,9950
Denominators are 192,243
The GCF of 8450,9950 is 50 .
LCM of 192,243 is 15552.
The greatest common factor of 8450/192,9950/243 = [GCF of 8450,9950]/[LCM of 192,243]= 50/15552
Therefore, the GCF of 8450/192,9950/243 is 50/15552.
To find the highest common factor of 8450,9950, we have to find the factors of both numbers and list the highest common factor.
The factors of 8450 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 169, 325, 338, 650, 845, 1690, 4225, 8450
The factors of 9950 are 1, 2, 5, 10, 25, 50, 199, 398, 995, 1990, 4975, 9950
The HCF of 8450,9950 is 50.
Lets's calculate GCF of 8450,9950
| 2 | 8450, 9950 |
| 5 | 4225, 4975 |
| 5 | 845, 995 |
| 169, 199 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 8450,9950 By Matching Biggest Common Factor Method
Now, list down the factors of 8450
:1,2,5,10,13,25,26,50,65,130,169,325,338,650,845,1690,4225,8450
Now, list down the factors of 9950
:1,2,5,10,25,50,199,398,995,1990,4975,9950
Greatest Common Factor
We found the factors 8450,9950 . The biggest common factor number is the GCF number.
So the greatest common factor 8450,9950 is 50.
Lets's calculate LCM of 192,243
| 3 | 192, 243 |
| 64, 81 |
∴ So the LCM of the given numbers is 3 x 64 x 81 = 15552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/15552
Therefore, the GCF of Fractions 8450/192,9950/243 is 50/15552
Least Common Multiple of 192,243 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 192,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,243) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(192,243) x common factors =3 x 1 = 3
LCM(192,243) = ( 192 × 243 ) / 3
LCM(192,243) = 46656 / 3
LCM(192,243) = 15552
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FAQs on GCF of Fractions of 8450/192, 9950/243
1. What is the HCF of 8450,9950?
The HCF of 8450,9950 is 50
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 8450/192, 9950/243?
Answer: GCF of Numerators as per given numbers 8450/192, 9950/243 is
GCF of Numerators i.e. for 8450,9950 is 50
LCM of denominators i.e. for 192,243 is 15552.
Thus, GCF of Fractions is 50/15552.Finally, GCF of Fractions for 8450/192, 9950/243 is 50/15552.