GCF of 6114/304, 8881/9422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6114/304, 8881/9422 i.e 1/1432144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6114/304, 8881/9422.
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 6114/304,8881/9422?
Given fractions are 6114/304,8881/9422
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 6114/304,8881/9422, numerators are 6114,8881
Denominators are 304,9422
The GCF of 6114,8881 is 1 .
LCM of 304,9422 is 1432144.
The greatest common factor of 6114/304,8881/9422 = [GCF of 6114,8881]/[LCM of 304,9422]= 1/1432144
Therefore, the GCF of 6114/304,8881/9422 is 1/1432144.
To find the highest common factor of 6114,8881, we have to find the factors of both numbers and list the highest common factor.
The factors of 6114 are 1, 2, 3, 6, 1019, 2038, 3057, 6114
The factors of 8881 are 1, 83, 107, 8881
The HCF of 6114,8881 is 1.
Lets's calculate GCF of 6114,8881
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6114,8881 By Matching Biggest Common Factor Method
Now, list down the factors of 6114
:1,2,3,6,1019,2038,3057,6114
Now, list down the factors of 8881
:1,83,107,8881
Greatest Common Factor
We found the factors 6114,8881 . The biggest common factor number is the GCF number.
So the greatest common factor 6114,8881 is 1.
Lets's calculate LCM of 304,9422
| 2 | 304, 9422 |
| 152, 4711 |
∴ So the LCM of the given numbers is 2 x 152 x 4711 = 1432144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1432144
Therefore, the GCF of Fractions 6114/304,8881/9422 is 1/1432144
Least Common Multiple of 304,9422 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 304,9422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,9422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(304,9422) x common factors =2 x 1 = 2
LCM(304,9422) = ( 304 × 9422 ) / 2
LCM(304,9422) = 2864288 / 2
LCM(304,9422) = 1432144
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FAQs on GCF of Fractions of 6114/304, 8881/9422
1. What is the HCF of 6114,8881?
The HCF of 6114,8881 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 6114/304, 8881/9422?
Answer: GCF of Numerators as per given numbers 6114/304, 8881/9422 is
GCF of Numerators i.e. for 6114,8881 is 1
LCM of denominators i.e. for 304,9422 is 1432144.
Thus, GCF of Fractions is 1/1432144.Finally, GCF of Fractions for 6114/304, 8881/9422 is 1/1432144.