GCF of 9298/812, 9799/2982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9298/812, 9799/2982 i.e 1/172956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9298/812, 9799/2982.
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 9298/812,9799/2982?
Given fractions are 9298/812,9799/2982
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 9298/812,9799/2982, numerators are 9298,9799
Denominators are 812,2982
The GCF of 9298,9799 is 1 .
LCM of 812,2982 is 172956.
The greatest common factor of 9298/812,9799/2982 = [GCF of 9298,9799]/[LCM of 812,2982]= 1/172956
Therefore, the GCF of 9298/812,9799/2982 is 1/172956.
To find the highest common factor of 9298,9799, we have to find the factors of both numbers and list the highest common factor.
The factors of 9298 are 1, 2, 4649, 9298
The factors of 9799 are 1, 41, 239, 9799
The HCF of 9298,9799 is 1.
Lets's calculate GCF of 9298,9799
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9298,9799 By Matching Biggest Common Factor Method
Now, list down the factors of 9298
:1,2,4649,9298
Now, list down the factors of 9799
:1,41,239,9799
Greatest Common Factor
We found the factors 9298,9799 . The biggest common factor number is the GCF number.
So the greatest common factor 9298,9799 is 1.
Lets's calculate LCM of 812,2982
| 2 | 812, 2982 |
| 7 | 406, 1491 |
| 58, 213 |
∴ So the LCM of the given numbers is 2 x 7 x 58 x 213 = 172956
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172956
Therefore, the GCF of Fractions 9298/812,9799/2982 is 1/172956
Least Common Multiple of 812,2982 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 812,2982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,2982) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(812,2982) x common factors =14 x 1 = 14
LCM(812,2982) = ( 812 × 2982 ) / 14
LCM(812,2982) = 2421384 / 14
LCM(812,2982) = 172956
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FAQs on GCF of Fractions of 9298/812, 9799/2982
1. What is the HCF of 9298,9799?
The HCF of 9298,9799 is 1
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 9298/812, 9799/2982?
Answer: GCF of Numerators as per given numbers 9298/812, 9799/2982 is
GCF of Numerators i.e. for 9298,9799 is 1
LCM of denominators i.e. for 812,2982 is 172956.
Thus, GCF of Fractions is 1/172956.Finally, GCF of Fractions for 9298/812, 9799/2982 is 1/172956.