Use our free GCF of Fractions Calculator tool to compute the GCF of 4862/309, 3012/8370 i.e 2/862110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4862/309, 3012/8370.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4862/309,3012/8370
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 4862/309,3012/8370, numerators are 4862,3012
Denominators are 309,8370
The GCF of 4862,3012 is 2 .
LCM of 309,8370 is 862110.
The greatest common factor of 4862/309,3012/8370 = [GCF of 4862,3012]/[LCM of 309,8370]= 2/862110
Therefore, the GCF of 4862/309,3012/8370 is 2/862110.
To find the highest common factor of 4862,3012, we have to find the factors of both numbers and list the highest common factor.
The factors of 4862 are 1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 374, 442, 2431, 4862
The factors of 3012 are 1, 2, 3, 4, 6, 12, 251, 502, 753, 1004, 1506, 3012
The HCF of 4862,3012 is 2.
Lets's calculate GCF of 4862,3012
2 | 4862, 3012 |
2431, 1506 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4862
:1,2,11,13,17,22,26,34,143,187,221,286,374,442,2431,4862
Now, list down the factors of 3012
:1,2,3,4,6,12,251,502,753,1004,1506,3012
Greatest Common Factor
We found the factors 4862,3012 . The biggest common factor number is the GCF number.
So the greatest common factor 4862,3012 is 2.
Lets's calculate LCM of 309,8370
3 | 309, 8370 |
103, 2790 |
∴ So the LCM of the given numbers is 3 x 103 x 2790 = 862110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/862110
Therefore, the GCF of Fractions 4862/309,3012/8370 is 2/862110
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 309,8370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,8370) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,8370) x common factors =3 x 1 = 3
LCM(309,8370) = ( 309 × 8370 ) / 3
LCM(309,8370) = 2586330 / 3
LCM(309,8370) = 862110
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4862,3012?
The HCF of 4862,3012 is 2
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 4862/309, 3012/8370?
Answer: GCF of Numerators as per given numbers 4862/309, 3012/8370 is
GCF of Numerators i.e. for 4862,3012 is 2
LCM of denominators i.e. for 309,8370 is 862110.
Thus, GCF of Fractions is 2/862110.Finally, GCF of Fractions for 4862/309, 3012/8370 is 2/862110.