GCF of 7806/166, 6866/2400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7806/166, 6866/2400 i.e 2/199200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7806/166, 6866/2400.
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 7806/166,6866/2400?
Given fractions are 7806/166,6866/2400
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 7806/166,6866/2400, numerators are 7806,6866
Denominators are 166,2400
The GCF of 7806,6866 is 2 .
LCM of 166,2400 is 199200.
The greatest common factor of 7806/166,6866/2400 = [GCF of 7806,6866]/[LCM of 166,2400]= 2/199200
Therefore, the GCF of 7806/166,6866/2400 is 2/199200.
To find the highest common factor of 7806,6866, we have to find the factors of both numbers and list the highest common factor.
The factors of 7806 are 1, 2, 3, 6, 1301, 2602, 3903, 7806
The factors of 6866 are 1, 2, 3433, 6866
The HCF of 7806,6866 is 2.
Lets's calculate GCF of 7806,6866
| 2 | 7806, 6866 |
| 3903, 3433 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7806,6866 By Matching Biggest Common Factor Method
Now, list down the factors of 7806
:1,2,3,6,1301,2602,3903,7806
Now, list down the factors of 6866
:1,2,3433,6866
Greatest Common Factor
We found the factors 7806,6866 . The biggest common factor number is the GCF number.
So the greatest common factor 7806,6866 is 2.
Lets's calculate LCM of 166,2400
| 2 | 166, 2400 |
| 83, 1200 |
∴ So the LCM of the given numbers is 2 x 83 x 1200 = 199200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199200
Therefore, the GCF of Fractions 7806/166,6866/2400 is 2/199200
Least Common Multiple of 166,2400 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 166,2400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(166,2400) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(166,2400) x common factors =2 x 1 = 2
LCM(166,2400) = ( 166 × 2400 ) / 2
LCM(166,2400) = 398400 / 2
LCM(166,2400) = 199200
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FAQs on GCF of Fractions of 7806/166, 6866/2400
1. What is the HCF of 7806,6866?
The HCF of 7806,6866 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 7806/166, 6866/2400?
Answer: GCF of Numerators as per given numbers 7806/166, 6866/2400 is
GCF of Numerators i.e. for 7806,6866 is 2
LCM of denominators i.e. for 166,2400 is 199200.
Thus, GCF of Fractions is 2/199200.Finally, GCF of Fractions for 7806/166, 6866/2400 is 2/199200.