Use our free GCF of Fractions Calculator tool to compute the GCF of 4908/499, 6276/6012 i.e 12/2999988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4908/499, 6276/6012.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4908/499,6276/6012
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 4908/499,6276/6012, numerators are 4908,6276
Denominators are 499,6012
The GCF of 4908,6276 is 12 .
LCM of 499,6012 is 2999988.
The greatest common factor of 4908/499,6276/6012 = [GCF of 4908,6276]/[LCM of 499,6012]= 12/2999988
Therefore, the GCF of 4908/499,6276/6012 is 12/2999988.
To find the highest common factor of 4908,6276, we have to find the factors of both numbers and list the highest common factor.
The factors of 4908 are 1, 2, 3, 4, 6, 12, 409, 818, 1227, 1636, 2454, 4908
The factors of 6276 are 1, 2, 3, 4, 6, 12, 523, 1046, 1569, 2092, 3138, 6276
The HCF of 4908,6276 is 12.
Lets's calculate GCF of 4908,6276
2 | 4908, 6276 |
2 | 2454, 3138 |
3 | 1227, 1569 |
409, 523 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Now, list down the factors of 4908
:1,2,3,4,6,12,409,818,1227,1636,2454,4908
Now, list down the factors of 6276
:1,2,3,4,6,12,523,1046,1569,2092,3138,6276
Greatest Common Factor
We found the factors 4908,6276 . The biggest common factor number is the GCF number.
So the greatest common factor 4908,6276 is 12.
Lets's calculate LCM of 499,6012
Given numbers has no common factors except 1. So, there LCM is their product i.e 2999988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2999988
Therefore, the GCF of Fractions 4908/499,6276/6012 is 12/2999988
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 499,6012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,6012) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,6012) x common factors =1 x 1 = 1
LCM(499,6012) = ( 499 × 6012 ) / 1
LCM(499,6012) = 2999988 / 1
LCM(499,6012) = 2999988
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4908,6276?
The HCF of 4908,6276 is 12
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 4908/499, 6276/6012?
Answer: GCF of Numerators as per given numbers 4908/499, 6276/6012 is
GCF of Numerators i.e. for 4908,6276 is 12
LCM of denominators i.e. for 499,6012 is 2999988.
Thus, GCF of Fractions is 12/2999988.Finally, GCF of Fractions for 4908/499, 6276/6012 is 12/2999988.