GCF of 6183/158, 7302/4866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6183/158, 7302/4866 i.e 3/384414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6183/158, 7302/4866.
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 6183/158,7302/4866?
Given fractions are 6183/158,7302/4866
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 6183/158,7302/4866, numerators are 6183,7302
Denominators are 158,4866
The GCF of 6183,7302 is 3 .
LCM of 158,4866 is 384414.
The greatest common factor of 6183/158,7302/4866 = [GCF of 6183,7302]/[LCM of 158,4866]= 3/384414
Therefore, the GCF of 6183/158,7302/4866 is 3/384414.
To find the highest common factor of 6183,7302, we have to find the factors of both numbers and list the highest common factor.
The factors of 6183 are 1, 3, 9, 27, 229, 687, 2061, 6183
The factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302
The HCF of 6183,7302 is 3.
Lets's calculate GCF of 6183,7302
| 3 | 6183, 7302 |
| 2061, 2434 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6183,7302 By Matching Biggest Common Factor Method
Now, list down the factors of 6183
:1,3,9,27,229,687,2061,6183
Now, list down the factors of 7302
:1,2,3,6,1217,2434,3651,7302
Greatest Common Factor
We found the factors 6183,7302 . The biggest common factor number is the GCF number.
So the greatest common factor 6183,7302 is 3.
Lets's calculate LCM of 158,4866
| 2 | 158, 4866 |
| 79, 2433 |
∴ So the LCM of the given numbers is 2 x 79 x 2433 = 384414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/384414
Therefore, the GCF of Fractions 6183/158,7302/4866 is 3/384414
Least Common Multiple of 158,4866 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 158,4866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,4866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,4866) x common factors =2 x 1 = 2
LCM(158,4866) = ( 158 × 4866 ) / 2
LCM(158,4866) = 768828 / 2
LCM(158,4866) = 384414
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FAQs on GCF of Fractions of 6183/158, 7302/4866
1. What is the HCF of 6183,7302?
The HCF of 6183,7302 is 3
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 6183/158, 7302/4866?
Answer: GCF of Numerators as per given numbers 6183/158, 7302/4866 is
GCF of Numerators i.e. for 6183,7302 is 3
LCM of denominators i.e. for 158,4866 is 384414.
Thus, GCF of Fractions is 3/384414.Finally, GCF of Fractions for 6183/158, 7302/4866 is 3/384414.