Use our free GCF of Fractions Calculator tool to compute the GCF of 838/64, 338/8299 i.e 2/531136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 838/64, 338/8299.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 838/64,338/8299
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 838/64,338/8299, numerators are 838,338
Denominators are 64,8299
The GCF of 838,338 is 2 .
LCM of 64,8299 is 531136.
The greatest common factor of 838/64,338/8299 = [GCF of 838,338]/[LCM of 64,8299]= 2/531136
Therefore, the GCF of 838/64,338/8299 is 2/531136.
To find the highest common factor of 838,338, we have to find the factors of both numbers and list the highest common factor.
The factors of 838 are 1, 2, 419, 838
The factors of 338 are 1, 2, 13, 26, 169, 338
The HCF of 838,338 is 2.
Lets's calculate GCF of 838,338
2 | 838, 338 |
419, 169 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 838
:1,2,419,838
Now, list down the factors of 338
:1,2,13,26,169,338
Greatest Common Factor
We found the factors 838,338 . The biggest common factor number is the GCF number.
So the greatest common factor 838,338 is 2.
Lets's calculate LCM of 64,8299
Given numbers has no common factors except 1. So, there LCM is their product i.e 531136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/531136
Therefore, the GCF of Fractions 838/64,338/8299 is 2/531136
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 64,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,8299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,8299) x common factors =1 x 1 = 1
LCM(64,8299) = ( 64 × 8299 ) / 1
LCM(64,8299) = 531136 / 1
LCM(64,8299) = 531136
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 838,338?
The HCF of 838,338 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 838/64, 338/8299?
Answer: GCF of Numerators as per given numbers 838/64, 338/8299 is
GCF of Numerators i.e. for 838,338 is 2
LCM of denominators i.e. for 64,8299 is 531136.
Thus, GCF of Fractions is 2/531136.Finally, GCF of Fractions for 838/64, 338/8299 is 2/531136.