Use our free GCF of Fractions Calculator tool to compute the GCF of 751/149, 230/338 i.e 1/50362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 751/149, 230/338.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 751/149,230/338
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 751/149,230/338, numerators are 751,230
Denominators are 149,338
The GCF of 751,230 is 1 .
LCM of 149,338 is 50362.
The greatest common factor of 751/149,230/338 = [GCF of 751,230]/[LCM of 149,338]= 1/50362
Therefore, the GCF of 751/149,230/338 is 1/50362.
To find the highest common factor of 751,230, we have to find the factors of both numbers and list the highest common factor.
The factors of 751 are 1, 751
The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230
The HCF of 751,230 is 1.
Lets's calculate GCF of 751,230
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 751
:1,751
Now, list down the factors of 230
:1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 751,230 . The biggest common factor number is the GCF number.
So the greatest common factor 751,230 is 1.
Lets's calculate LCM of 149,338
Given numbers has no common factors except 1. So, there LCM is their product i.e 50362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50362
Therefore, the GCF of Fractions 751/149,230/338 is 1/50362
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 149,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,338) x common factors =1 x 1 = 1
LCM(149,338) = ( 149 × 338 ) / 1
LCM(149,338) = 50362 / 1
LCM(149,338) = 50362
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 751,230?
The HCF of 751,230 is 1
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 751/149, 230/338?
Answer: GCF of Numerators as per given numbers 751/149, 230/338 is
GCF of Numerators i.e. for 751,230 is 1
LCM of denominators i.e. for 149,338 is 50362.
Thus, GCF of Fractions is 1/50362.Finally, GCF of Fractions for 751/149, 230/338 is 1/50362.