Use our free GCF of Fractions Calculator tool to compute the GCF of 908/536, 582/832 i.e 2/55744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/536, 582/832.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 908/536,582/832
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 908/536,582/832, numerators are 908,582
Denominators are 536,832
The GCF of 908,582 is 2 .
LCM of 536,832 is 55744.
The greatest common factor of 908/536,582/832 = [GCF of 908,582]/[LCM of 536,832]= 2/55744
Therefore, the GCF of 908/536,582/832 is 2/55744.
To find the highest common factor of 908,582, 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 582 are 1, 2, 3, 6, 97, 194, 291, 582
The HCF of 908,582 is 2.
Lets's calculate GCF of 908,582
2 | 908, 582 |
454, 291 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 908
:1,2,4,227,454,908
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 908,582 . The biggest common factor number is the GCF number.
So the greatest common factor 908,582 is 2.
Lets's calculate LCM of 536,832
2 | 536, 832 |
2 | 268, 416 |
2 | 134, 208 |
67, 104 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 67 x 104 = 55744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55744
Therefore, the GCF of Fractions 908/536,582/832 is 2/55744
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 536,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,832) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(536,832) x common factors =8 x 1 = 8
LCM(536,832) = ( 536 × 832 ) / 8
LCM(536,832) = 445952 / 8
LCM(536,832) = 55744
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 908,582?
The HCF of 908,582 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 908/536, 582/832?
Answer: GCF of Numerators as per given numbers 908/536, 582/832 is
GCF of Numerators i.e. for 908,582 is 2
LCM of denominators i.e. for 536,832 is 55744.
Thus, GCF of Fractions is 2/55744.Finally, GCF of Fractions for 908/536, 582/832 is 2/55744.