Use our free GCF of Fractions Calculator tool to compute the GCF of 751/509, 923/257 i.e 1/130813 easily. The following is the detailed procedure to determine the greatest common factor of fractions 751/509, 923/257.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 751/509,923/257
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 751/509,923/257, numerators are 751,923
Denominators are 509,257
The GCF of 751,923 is 1 .
LCM of 509,257 is 130813.
The greatest common factor of 751/509,923/257 = [GCF of 751,923]/[LCM of 509,257]= 1/130813
Therefore, the GCF of 751/509,923/257 is 1/130813.
To find the highest common factor of 751,923, 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 923 are 1, 13, 71, 923
The HCF of 751,923 is 1.
Lets's calculate GCF of 751,923
∴ 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 923
:1,13,71,923
Greatest Common Factor
We found the factors 751,923 . The biggest common factor number is the GCF number.
So the greatest common factor 751,923 is 1.
Lets's calculate LCM of 509,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 130813
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130813
Therefore, the GCF of Fractions 751/509,923/257 is 1/130813
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 509,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,257) x common factors =1 x 1 = 1
LCM(509,257) = ( 509 × 257 ) / 1
LCM(509,257) = 130813 / 1
LCM(509,257) = 130813
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 751,923?
The HCF of 751,923 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 751/509, 923/257?
Answer: GCF of Numerators as per given numbers 751/509, 923/257 is
GCF of Numerators i.e. for 751,923 is 1
LCM of denominators i.e. for 509,257 is 130813.
Thus, GCF of Fractions is 1/130813.Finally, GCF of Fractions for 751/509, 923/257 is 1/130813.