Use our free GCF of Fractions Calculator tool to compute the GCF of 6756/858, 3345/4851 i.e 3/126126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6756/858, 3345/4851.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6756/858,3345/4851
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 6756/858,3345/4851, numerators are 6756,3345
Denominators are 858,4851
The GCF of 6756,3345 is 3 .
LCM of 858,4851 is 126126.
The greatest common factor of 6756/858,3345/4851 = [GCF of 6756,3345]/[LCM of 858,4851]= 3/126126
Therefore, the GCF of 6756/858,3345/4851 is 3/126126.
To find the highest common factor of 6756,3345, we have to find the factors of both numbers and list the highest common factor.
The factors of 6756 are 1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378, 6756
The factors of 3345 are 1, 3, 5, 15, 223, 669, 1115, 3345
The HCF of 6756,3345 is 3.
Lets's calculate GCF of 6756,3345
3 | 6756, 3345 |
2252, 1115 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 6756
:1,2,3,4,6,12,563,1126,1689,2252,3378,6756
Now, list down the factors of 3345
:1,3,5,15,223,669,1115,3345
Greatest Common Factor
We found the factors 6756,3345 . The biggest common factor number is the GCF number.
So the greatest common factor 6756,3345 is 3.
Lets's calculate LCM of 858,4851
3 | 858, 4851 |
11 | 286, 1617 |
26, 147 |
∴ So the LCM of the given numbers is 3 x 11 x 26 x 147 = 126126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/126126
Therefore, the GCF of Fractions 6756/858,3345/4851 is 3/126126
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 858,4851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,4851) = 33
common factors(in case of two or more numbers have common factors) = 1
GCF(858,4851) x common factors =33 x 1 = 33
LCM(858,4851) = ( 858 × 4851 ) / 33
LCM(858,4851) = 4162158 / 33
LCM(858,4851) = 126126
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6756,3345?
The HCF of 6756,3345 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 6756/858, 3345/4851?
Answer: GCF of Numerators as per given numbers 6756/858, 3345/4851 is
GCF of Numerators i.e. for 6756,3345 is 3
LCM of denominators i.e. for 858,4851 is 126126.
Thus, GCF of Fractions is 3/126126.Finally, GCF of Fractions for 6756/858, 3345/4851 is 3/126126.