GCF of 2766/384, 3181/6237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2766/384, 3181/6237 i.e 1/798336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2766/384, 3181/6237.
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 2766/384,3181/6237?
Given fractions are 2766/384,3181/6237
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 2766/384,3181/6237, numerators are 2766,3181
Denominators are 384,6237
The GCF of 2766,3181 is 1 .
LCM of 384,6237 is 798336.
The greatest common factor of 2766/384,3181/6237 = [GCF of 2766,3181]/[LCM of 384,6237]= 1/798336
Therefore, the GCF of 2766/384,3181/6237 is 1/798336.
To find the highest common factor of 2766,3181, we have to find the factors of both numbers and list the highest common factor.
The factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766
The factors of 3181 are 1, 3181
The HCF of 2766,3181 is 1.
Lets's calculate GCF of 2766,3181
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2766,3181 By Matching Biggest Common Factor Method
Now, list down the factors of 2766
:1,2,3,6,461,922,1383,2766
Now, list down the factors of 3181
:1,3181
Greatest Common Factor
We found the factors 2766,3181 . The biggest common factor number is the GCF number.
So the greatest common factor 2766,3181 is 1.
Lets's calculate LCM of 384,6237
| 3 | 384, 6237 |
| 128, 2079 |
∴ So the LCM of the given numbers is 3 x 128 x 2079 = 798336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/798336
Therefore, the GCF of Fractions 2766/384,3181/6237 is 1/798336
Least Common Multiple of 384,6237 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 384,6237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,6237) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(384,6237) x common factors =3 x 1 = 3
LCM(384,6237) = ( 384 × 6237 ) / 3
LCM(384,6237) = 2395008 / 3
LCM(384,6237) = 798336
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FAQs on GCF of Fractions of 2766/384, 3181/6237
1. What is the HCF of 2766,3181?
The HCF of 2766,3181 is 1
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 2766/384, 3181/6237?
Answer: GCF of Numerators as per given numbers 2766/384, 3181/6237 is
GCF of Numerators i.e. for 2766,3181 is 1
LCM of denominators i.e. for 384,6237 is 798336.
Thus, GCF of Fractions is 1/798336.Finally, GCF of Fractions for 2766/384, 3181/6237 is 1/798336.