Use our free GCF of Fractions Calculator tool to compute the GCF of 500/370, 838/258 i.e 2/47730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 500/370, 838/258.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 500/370,838/258
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 500/370,838/258, numerators are 500,838
Denominators are 370,258
The GCF of 500,838 is 2 .
LCM of 370,258 is 47730.
The greatest common factor of 500/370,838/258 = [GCF of 500,838]/[LCM of 370,258]= 2/47730
Therefore, the GCF of 500/370,838/258 is 2/47730.
To find the highest common factor of 500,838, we have to find the factors of both numbers and list the highest common factor.
The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The factors of 838 are 1, 2, 419, 838
The HCF of 500,838 is 2.
Lets's calculate GCF of 500,838
2 | 500, 838 |
250, 419 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 500
:1,2,4,5,10,20,25,50,100,125,250,500
Now, list down the factors of 838
:1,2,419,838
Greatest Common Factor
We found the factors 500,838 . The biggest common factor number is the GCF number.
So the greatest common factor 500,838 is 2.
Lets's calculate LCM of 370,258
2 | 370, 258 |
185, 129 |
∴ So the LCM of the given numbers is 2 x 185 x 129 = 47730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47730
Therefore, the GCF of Fractions 500/370,838/258 is 2/47730
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 370,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,258) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,258) x common factors =2 x 1 = 2
LCM(370,258) = ( 370 × 258 ) / 2
LCM(370,258) = 95460 / 2
LCM(370,258) = 47730
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 500,838?
The HCF of 500,838 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 500/370, 838/258?
Answer: GCF of Numerators as per given numbers 500/370, 838/258 is
GCF of Numerators i.e. for 500,838 is 2
LCM of denominators i.e. for 370,258 is 47730.
Thus, GCF of Fractions is 2/47730.Finally, GCF of Fractions for 500/370, 838/258 is 2/47730.