Use our free GCF of Fractions Calculator tool to compute the GCF of 130/928, 723/891 i.e 1/826848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 130/928, 723/891.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 130/928,723/891
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 130/928,723/891, numerators are 130,723
Denominators are 928,891
The GCF of 130,723 is 1 .
LCM of 928,891 is 826848.
The greatest common factor of 130/928,723/891 = [GCF of 130,723]/[LCM of 928,891]= 1/826848
Therefore, the GCF of 130/928,723/891 is 1/826848.
To find the highest common factor of 130,723, we have to find the factors of both numbers and list the highest common factor.
The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130
The factors of 723 are 1, 3, 241, 723
The HCF of 130,723 is 1.
Lets's calculate GCF of 130,723
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 130
:1,2,5,10,13,26,65,130
Now, list down the factors of 723
:1,3,241,723
Greatest Common Factor
We found the factors 130,723 . The biggest common factor number is the GCF number.
So the greatest common factor 130,723 is 1.
Lets's calculate LCM of 928,891
Given numbers has no common factors except 1. So, there LCM is their product i.e 826848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/826848
Therefore, the GCF of Fractions 130/928,723/891 is 1/826848
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 928,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(928,891) x common factors =1 x 1 = 1
LCM(928,891) = ( 928 × 891 ) / 1
LCM(928,891) = 826848 / 1
LCM(928,891) = 826848
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 130,723?
The HCF of 130,723 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 130/928, 723/891?
Answer: GCF of Numerators as per given numbers 130/928, 723/891 is
GCF of Numerators i.e. for 130,723 is 1
LCM of denominators i.e. for 928,891 is 826848.
Thus, GCF of Fractions is 1/826848.Finally, GCF of Fractions for 130/928, 723/891 is 1/826848.