GCF of 9998/783, 8092/8400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9998/783, 8092/8400 i.e 2/2192400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9998/783, 8092/8400.
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 9998/783,8092/8400?
Given fractions are 9998/783,8092/8400
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 9998/783,8092/8400, numerators are 9998,8092
Denominators are 783,8400
The GCF of 9998,8092 is 2 .
LCM of 783,8400 is 2192400.
The greatest common factor of 9998/783,8092/8400 = [GCF of 9998,8092]/[LCM of 783,8400]= 2/2192400
Therefore, the GCF of 9998/783,8092/8400 is 2/2192400.
To find the highest common factor of 9998,8092, we have to find the factors of both numbers and list the highest common factor.
The factors of 9998 are 1, 2, 4999, 9998
The factors of 8092 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 289, 476, 578, 1156, 2023, 4046, 8092
The HCF of 9998,8092 is 2.
Lets's calculate GCF of 9998,8092
| 2 | 9998, 8092 |
| 4999, 4046 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9998,8092 By Matching Biggest Common Factor Method
Now, list down the factors of 9998
:1,2,4999,9998
Now, list down the factors of 8092
:1,2,4,7,14,17,28,34,68,119,238,289,476,578,1156,2023,4046,8092
Greatest Common Factor
We found the factors 9998,8092 . The biggest common factor number is the GCF number.
So the greatest common factor 9998,8092 is 2.
Lets's calculate LCM of 783,8400
| 3 | 783, 8400 |
| 261, 2800 |
∴ So the LCM of the given numbers is 3 x 261 x 2800 = 2192400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2192400
Therefore, the GCF of Fractions 9998/783,8092/8400 is 2/2192400
Least Common Multiple of 783,8400 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 783,8400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,8400) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,8400) x common factors =3 x 1 = 3
LCM(783,8400) = ( 783 × 8400 ) / 3
LCM(783,8400) = 6577200 / 3
LCM(783,8400) = 2192400
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FAQs on GCF of Fractions of 9998/783, 8092/8400
1. What is the HCF of 9998,8092?
The HCF of 9998,8092 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 9998/783, 8092/8400?
Answer: GCF of Numerators as per given numbers 9998/783, 8092/8400 is
GCF of Numerators i.e. for 9998,8092 is 2
LCM of denominators i.e. for 783,8400 is 2192400.
Thus, GCF of Fractions is 2/2192400.Finally, GCF of Fractions for 9998/783, 8092/8400 is 2/2192400.