Use our free GCF of Fractions Calculator tool to compute the GCF of 4962/511, 1924/232 i.e 2/118552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4962/511, 1924/232.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4962/511,1924/232
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 4962/511,1924/232, numerators are 4962,1924
Denominators are 511,232
The GCF of 4962,1924 is 2 .
LCM of 511,232 is 118552.
The greatest common factor of 4962/511,1924/232 = [GCF of 4962,1924]/[LCM of 511,232]= 2/118552
Therefore, the GCF of 4962/511,1924/232 is 2/118552.
To find the highest common factor of 4962,1924, we have to find the factors of both numbers and list the highest common factor.
The factors of 4962 are 1, 2, 3, 6, 827, 1654, 2481, 4962
The factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924
The HCF of 4962,1924 is 2.
Lets's calculate GCF of 4962,1924
2 | 4962, 1924 |
2481, 962 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4962
:1,2,3,6,827,1654,2481,4962
Now, list down the factors of 1924
:1,2,4,13,26,37,52,74,148,481,962,1924
Greatest Common Factor
We found the factors 4962,1924 . The biggest common factor number is the GCF number.
So the greatest common factor 4962,1924 is 2.
Lets's calculate LCM of 511,232
Given numbers has no common factors except 1. So, there LCM is their product i.e 118552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118552
Therefore, the GCF of Fractions 4962/511,1924/232 is 2/118552
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 511,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,232) x common factors =1 x 1 = 1
LCM(511,232) = ( 511 × 232 ) / 1
LCM(511,232) = 118552 / 1
LCM(511,232) = 118552
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4962,1924?
The HCF of 4962,1924 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 4962/511, 1924/232?
Answer: GCF of Numerators as per given numbers 4962/511, 1924/232 is
GCF of Numerators i.e. for 4962,1924 is 2
LCM of denominators i.e. for 511,232 is 118552.
Thus, GCF of Fractions is 2/118552.Finally, GCF of Fractions for 4962/511, 1924/232 is 2/118552.