GCF of 8166/932, 7194/5514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8166/932, 7194/5514 i.e 6/2569524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8166/932, 7194/5514.
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 8166/932,7194/5514?
Given fractions are 8166/932,7194/5514
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 8166/932,7194/5514, numerators are 8166,7194
Denominators are 932,5514
The GCF of 8166,7194 is 6 .
LCM of 932,5514 is 2569524.
The greatest common factor of 8166/932,7194/5514 = [GCF of 8166,7194]/[LCM of 932,5514]= 6/2569524
Therefore, the GCF of 8166/932,7194/5514 is 6/2569524.
To find the highest common factor of 8166,7194, we have to find the factors of both numbers and list the highest common factor.
The factors of 8166 are 1, 2, 3, 6, 1361, 2722, 4083, 8166
The factors of 7194 are 1, 2, 3, 6, 11, 22, 33, 66, 109, 218, 327, 654, 1199, 2398, 3597, 7194
The HCF of 8166,7194 is 6.
Lets's calculate GCF of 8166,7194
| 2 | 8166, 7194 |
| 3 | 4083, 3597 |
| 1361, 1199 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8166,7194 By Matching Biggest Common Factor Method
Now, list down the factors of 8166
:1,2,3,6,1361,2722,4083,8166
Now, list down the factors of 7194
:1,2,3,6,11,22,33,66,109,218,327,654,1199,2398,3597,7194
Greatest Common Factor
We found the factors 8166,7194 . The biggest common factor number is the GCF number.
So the greatest common factor 8166,7194 is 6.
Lets's calculate LCM of 932,5514
| 2 | 932, 5514 |
| 466, 2757 |
∴ So the LCM of the given numbers is 2 x 466 x 2757 = 2569524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2569524
Therefore, the GCF of Fractions 8166/932,7194/5514 is 6/2569524
Least Common Multiple of 932,5514 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 932,5514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(932,5514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(932,5514) x common factors =2 x 1 = 2
LCM(932,5514) = ( 932 × 5514 ) / 2
LCM(932,5514) = 5139048 / 2
LCM(932,5514) = 2569524
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FAQs on GCF of Fractions of 8166/932, 7194/5514
1. What is the HCF of 8166,7194?
The HCF of 8166,7194 is 6
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 8166/932, 7194/5514?
Answer: GCF of Numerators as per given numbers 8166/932, 7194/5514 is
GCF of Numerators i.e. for 8166,7194 is 6
LCM of denominators i.e. for 932,5514 is 2569524.
Thus, GCF of Fractions is 6/2569524.Finally, GCF of Fractions for 8166/932, 7194/5514 is 6/2569524.