Use our free GCF of Fractions Calculator tool to compute the GCF of 4921/976, 9432/4782 i.e 1/2333616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4921/976, 9432/4782.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4921/976,9432/4782
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 4921/976,9432/4782, numerators are 4921,9432
Denominators are 976,4782
The GCF of 4921,9432 is 1 .
LCM of 976,4782 is 2333616.
The greatest common factor of 4921/976,9432/4782 = [GCF of 4921,9432]/[LCM of 976,4782]= 1/2333616
Therefore, the GCF of 4921/976,9432/4782 is 1/2333616.
To find the highest common factor of 4921,9432, we have to find the factors of both numbers and list the highest common factor.
The factors of 4921 are 1, 7, 19, 37, 133, 259, 703, 4921
The factors of 9432 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 131, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 4716, 9432
The HCF of 4921,9432 is 1.
Lets's calculate GCF of 4921,9432
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4921
:1,7,19,37,133,259,703,4921
Now, list down the factors of 9432
:1,2,3,4,6,8,9,12,18,24,36,72,131,262,393,524,786,1048,1179,1572,2358,3144,4716,9432
Greatest Common Factor
We found the factors 4921,9432 . The biggest common factor number is the GCF number.
So the greatest common factor 4921,9432 is 1.
Lets's calculate LCM of 976,4782
2 | 976, 4782 |
488, 2391 |
∴ So the LCM of the given numbers is 2 x 488 x 2391 = 2333616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2333616
Therefore, the GCF of Fractions 4921/976,9432/4782 is 1/2333616
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 976,4782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,4782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(976,4782) x common factors =2 x 1 = 2
LCM(976,4782) = ( 976 × 4782 ) / 2
LCM(976,4782) = 4667232 / 2
LCM(976,4782) = 2333616
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4921,9432?
The HCF of 4921,9432 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 4921/976, 9432/4782?
Answer: GCF of Numerators as per given numbers 4921/976, 9432/4782 is
GCF of Numerators i.e. for 4921,9432 is 1
LCM of denominators i.e. for 976,4782 is 2333616.
Thus, GCF of Fractions is 1/2333616.Finally, GCF of Fractions for 4921/976, 9432/4782 is 1/2333616.