GCF of 7923/271, 6116/8686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7923/271, 6116/8686 i.e 139/2353906 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7923/271, 6116/8686.
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 7923/271,6116/8686?
Given fractions are 7923/271,6116/8686
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 7923/271,6116/8686, numerators are 7923,6116
Denominators are 271,8686
The GCF of 7923,6116 is 139 .
LCM of 271,8686 is 2353906.
The greatest common factor of 7923/271,6116/8686 = [GCF of 7923,6116]/[LCM of 271,8686]= 139/2353906
Therefore, the GCF of 7923/271,6116/8686 is 139/2353906.
To find the highest common factor of 7923,6116, we have to find the factors of both numbers and list the highest common factor.
The factors of 7923 are 1, 3, 19, 57, 139, 417, 2641, 7923
The factors of 6116 are 1, 2, 4, 11, 22, 44, 139, 278, 556, 1529, 3058, 6116
The HCF of 7923,6116 is 139.
Lets's calculate GCF of 7923,6116
| 139 | 7923, 6116 |
| 57, 44 |
∴ So the GCF of the given numbers is 139 = 139
Greatest Common Factor of 7923,6116 By Matching Biggest Common Factor Method
Now, list down the factors of 7923
:1,3,19,57,139,417,2641,7923
Now, list down the factors of 6116
:1,2,4,11,22,44,139,278,556,1529,3058,6116
Greatest Common Factor
We found the factors 7923,6116 . The biggest common factor number is the GCF number.
So the greatest common factor 7923,6116 is 139.
Lets's calculate LCM of 271,8686
Given numbers has no common factors except 1. So, there LCM is their product i.e 2353906
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 139/2353906
Therefore, the GCF of Fractions 7923/271,6116/8686 is 139/2353906
Least Common Multiple of 271,8686 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 271,8686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,8686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,8686) x common factors =1 x 1 = 1
LCM(271,8686) = ( 271 × 8686 ) / 1
LCM(271,8686) = 2353906 / 1
LCM(271,8686) = 2353906
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FAQs on GCF of Fractions of 7923/271, 6116/8686
1. What is the HCF of 7923,6116?
The HCF of 7923,6116 is 139
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 7923/271, 6116/8686?
Answer: GCF of Numerators as per given numbers 7923/271, 6116/8686 is
GCF of Numerators i.e. for 7923,6116 is 139
LCM of denominators i.e. for 271,8686 is 2353906.
Thus, GCF of Fractions is 139/2353906.Finally, GCF of Fractions for 7923/271, 6116/8686 is 139/2353906.