Use our free GCF of Fractions Calculator tool to compute the GCF of 908/533, 584/507 i.e 4/20787 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/533, 584/507.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 908/533,584/507
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 908/533,584/507, numerators are 908,584
Denominators are 533,507
The GCF of 908,584 is 4 .
LCM of 533,507 is 20787.
The greatest common factor of 908/533,584/507 = [GCF of 908,584]/[LCM of 533,507]= 4/20787
Therefore, the GCF of 908/533,584/507 is 4/20787.
To find the highest common factor of 908,584, we have to find the factors of both numbers and list the highest common factor.
The factors of 908 are 1, 2, 4, 227, 454, 908
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584
The HCF of 908,584 is 4.
Lets's calculate GCF of 908,584
2 | 908, 584 |
2 | 454, 292 |
227, 146 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 908
:1,2,4,227,454,908
Now, list down the factors of 584
:1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 908,584 . The biggest common factor number is the GCF number.
So the greatest common factor 908,584 is 4.
Lets's calculate LCM of 533,507
13 | 533, 507 |
41, 39 |
∴ So the LCM of the given numbers is 13 x 41 x 39 = 20787
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/20787
Therefore, the GCF of Fractions 908/533,584/507 is 4/20787
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 533,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,507) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(533,507) x common factors =13 x 1 = 13
LCM(533,507) = ( 533 × 507 ) / 13
LCM(533,507) = 270231 / 13
LCM(533,507) = 20787
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 908,584?
The HCF of 908,584 is 4
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 908/533, 584/507?
Answer: GCF of Numerators as per given numbers 908/533, 584/507 is
GCF of Numerators i.e. for 908,584 is 4
LCM of denominators i.e. for 533,507 is 20787.
Thus, GCF of Fractions is 4/20787.Finally, GCF of Fractions for 908/533, 584/507 is 4/20787.