Use our free GCF of Fractions Calculator tool to compute the GCF of 438/282, 886/796 i.e 2/112236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 438/282, 886/796.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 438/282,886/796
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 438/282,886/796, numerators are 438,886
Denominators are 282,796
The GCF of 438,886 is 2 .
LCM of 282,796 is 112236.
The greatest common factor of 438/282,886/796 = [GCF of 438,886]/[LCM of 282,796]= 2/112236
Therefore, the GCF of 438/282,886/796 is 2/112236.
To find the highest common factor of 438,886, we have to find the factors of both numbers and list the highest common factor.
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The factors of 886 are 1, 2, 443, 886
The HCF of 438,886 is 2.
Lets's calculate GCF of 438,886
2 | 438, 886 |
219, 443 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Now, list down the factors of 886
:1,2,443,886
Greatest Common Factor
We found the factors 438,886 . The biggest common factor number is the GCF number.
So the greatest common factor 438,886 is 2.
Lets's calculate LCM of 282,796
2 | 282, 796 |
141, 398 |
∴ So the LCM of the given numbers is 2 x 141 x 398 = 112236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/112236
Therefore, the GCF of Fractions 438/282,886/796 is 2/112236
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 282,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,796) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,796) x common factors =2 x 1 = 2
LCM(282,796) = ( 282 × 796 ) / 2
LCM(282,796) = 224472 / 2
LCM(282,796) = 112236
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 438,886?
The HCF of 438,886 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 438/282, 886/796?
Answer: GCF of Numerators as per given numbers 438/282, 886/796 is
GCF of Numerators i.e. for 438,886 is 2
LCM of denominators i.e. for 282,796 is 112236.
Thus, GCF of Fractions is 2/112236.Finally, GCF of Fractions for 438/282, 886/796 is 2/112236.