GCF of 6114/799, 7984/2746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6114/799, 7984/2746 i.e 2/2194054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6114/799, 7984/2746.
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 6114/799,7984/2746?
Given fractions are 6114/799,7984/2746
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 6114/799,7984/2746, numerators are 6114,7984
Denominators are 799,2746
The GCF of 6114,7984 is 2 .
LCM of 799,2746 is 2194054.
The greatest common factor of 6114/799,7984/2746 = [GCF of 6114,7984]/[LCM of 799,2746]= 2/2194054
Therefore, the GCF of 6114/799,7984/2746 is 2/2194054.
To find the highest common factor of 6114,7984, 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 7984 are 1, 2, 4, 8, 16, 499, 998, 1996, 3992, 7984
The HCF of 6114,7984 is 2.
Lets's calculate GCF of 6114,7984
| 2 | 6114, 7984 |
| 3057, 3992 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6114,7984 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 7984
:1,2,4,8,16,499,998,1996,3992,7984
Greatest Common Factor
We found the factors 6114,7984 . The biggest common factor number is the GCF number.
So the greatest common factor 6114,7984 is 2.
Lets's calculate LCM of 799,2746
Given numbers has no common factors except 1. So, there LCM is their product i.e 2194054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2194054
Therefore, the GCF of Fractions 6114/799,7984/2746 is 2/2194054
Least Common Multiple of 799,2746 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 799,2746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,2746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,2746) x common factors =1 x 1 = 1
LCM(799,2746) = ( 799 × 2746 ) / 1
LCM(799,2746) = 2194054 / 1
LCM(799,2746) = 2194054
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FAQs on GCF of Fractions of 6114/799, 7984/2746
1. What is the HCF of 6114,7984?
The HCF of 6114,7984 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 6114/799, 7984/2746?
Answer: GCF of Numerators as per given numbers 6114/799, 7984/2746 is
GCF of Numerators i.e. for 6114,7984 is 2
LCM of denominators i.e. for 799,2746 is 2194054.
Thus, GCF of Fractions is 2/2194054.Finally, GCF of Fractions for 6114/799, 7984/2746 is 2/2194054.