GCF of 8166/517, 9428/212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8166/517, 9428/212 i.e 2/109604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8166/517, 9428/212.
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 8166/517,9428/212?
Given fractions are 8166/517,9428/212
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 8166/517,9428/212, numerators are 8166,9428
Denominators are 517,212
The GCF of 8166,9428 is 2 .
LCM of 517,212 is 109604.
The greatest common factor of 8166/517,9428/212 = [GCF of 8166,9428]/[LCM of 517,212]= 2/109604
Therefore, the GCF of 8166/517,9428/212 is 2/109604.
To find the highest common factor of 8166,9428, 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 9428 are 1, 2, 4, 2357, 4714, 9428
The HCF of 8166,9428 is 2.
Lets's calculate GCF of 8166,9428
| 2 | 8166, 9428 |
| 4083, 4714 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8166,9428 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 9428
:1,2,4,2357,4714,9428
Greatest Common Factor
We found the factors 8166,9428 . The biggest common factor number is the GCF number.
So the greatest common factor 8166,9428 is 2.
Lets's calculate LCM of 517,212
Given numbers has no common factors except 1. So, there LCM is their product i.e 109604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109604
Therefore, the GCF of Fractions 8166/517,9428/212 is 2/109604
Least Common Multiple of 517,212 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 517,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(517,212) x common factors =1 x 1 = 1
LCM(517,212) = ( 517 × 212 ) / 1
LCM(517,212) = 109604 / 1
LCM(517,212) = 109604
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FAQs on GCF of Fractions of 8166/517, 9428/212
1. What is the HCF of 8166,9428?
The HCF of 8166,9428 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 8166/517, 9428/212?
Answer: GCF of Numerators as per given numbers 8166/517, 9428/212 is
GCF of Numerators i.e. for 8166,9428 is 2
LCM of denominators i.e. for 517,212 is 109604.
Thus, GCF of Fractions is 2/109604.Finally, GCF of Fractions for 8166/517, 9428/212 is 2/109604.