Use our free GCF of Fractions Calculator tool to compute the GCF of 2943/705, 7877/7851 i.e 1/1844985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2943/705, 7877/7851.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2943/705,7877/7851
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 2943/705,7877/7851, numerators are 2943,7877
Denominators are 705,7851
The GCF of 2943,7877 is 1 .
LCM of 705,7851 is 1844985.
The greatest common factor of 2943/705,7877/7851 = [GCF of 2943,7877]/[LCM of 705,7851]= 1/1844985
Therefore, the GCF of 2943/705,7877/7851 is 1/1844985.
To find the highest common factor of 2943,7877, we have to find the factors of both numbers and list the highest common factor.
The factors of 2943 are 1, 3, 9, 27, 109, 327, 981, 2943
The factors of 7877 are 1, 7877
The HCF of 2943,7877 is 1.
Lets's calculate GCF of 2943,7877
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2943
:1,3,9,27,109,327,981,2943
Now, list down the factors of 7877
:1,7877
Greatest Common Factor
We found the factors 2943,7877 . The biggest common factor number is the GCF number.
So the greatest common factor 2943,7877 is 1.
Lets's calculate LCM of 705,7851
3 | 705, 7851 |
235, 2617 |
∴ So the LCM of the given numbers is 3 x 235 x 2617 = 1844985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1844985
Therefore, the GCF of Fractions 2943/705,7877/7851 is 1/1844985
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 705,7851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,7851) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(705,7851) x common factors =3 x 1 = 3
LCM(705,7851) = ( 705 × 7851 ) / 3
LCM(705,7851) = 5534955 / 3
LCM(705,7851) = 1844985
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2943,7877?
The HCF of 2943,7877 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 2943/705, 7877/7851?
Answer: GCF of Numerators as per given numbers 2943/705, 7877/7851 is
GCF of Numerators i.e. for 2943,7877 is 1
LCM of denominators i.e. for 705,7851 is 1844985.
Thus, GCF of Fractions is 1/1844985.Finally, GCF of Fractions for 2943/705, 7877/7851 is 1/1844985.