GCF of 6669/237, 6291/738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6669/237, 6291/738 i.e 27/58302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6669/237, 6291/738.
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 6669/237,6291/738?
Given fractions are 6669/237,6291/738
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 6669/237,6291/738, numerators are 6669,6291
Denominators are 237,738
The GCF of 6669,6291 is 27 .
LCM of 237,738 is 58302.
The greatest common factor of 6669/237,6291/738 = [GCF of 6669,6291]/[LCM of 237,738]= 27/58302
Therefore, the GCF of 6669/237,6291/738 is 27/58302.
To find the highest common factor of 6669,6291, we have to find the factors of both numbers and list the highest common factor.
The factors of 6669 are 1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223, 6669
The factors of 6291 are 1, 3, 9, 27, 233, 699, 2097, 6291
The HCF of 6669,6291 is 27.
Lets's calculate GCF of 6669,6291
| 3 | 6669, 6291 |
| 3 | 2223, 2097 |
| 3 | 741, 699 |
| 247, 233 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 6669,6291 By Matching Biggest Common Factor Method
Now, list down the factors of 6669
:1,3,9,13,19,27,39,57,117,171,247,351,513,741,2223,6669
Now, list down the factors of 6291
:1,3,9,27,233,699,2097,6291
Greatest Common Factor
We found the factors 6669,6291 . The biggest common factor number is the GCF number.
So the greatest common factor 6669,6291 is 27.
Lets's calculate LCM of 237,738
| 3 | 237, 738 |
| 79, 246 |
∴ So the LCM of the given numbers is 3 x 79 x 246 = 58302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/58302
Therefore, the GCF of Fractions 6669/237,6291/738 is 27/58302
Least Common Multiple of 237,738 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 237,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,738) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(237,738) x common factors =3 x 1 = 3
LCM(237,738) = ( 237 × 738 ) / 3
LCM(237,738) = 174906 / 3
LCM(237,738) = 58302
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FAQs on GCF of Fractions of 6669/237, 6291/738
1. What is the HCF of 6669,6291?
The HCF of 6669,6291 is 27
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 6669/237, 6291/738?
Answer: GCF of Numerators as per given numbers 6669/237, 6291/738 is
GCF of Numerators i.e. for 6669,6291 is 27
LCM of denominators i.e. for 237,738 is 58302.
Thus, GCF of Fractions is 27/58302.Finally, GCF of Fractions for 6669/237, 6291/738 is 27/58302.