Use our free GCF of Fractions Calculator tool to compute the GCF of 391/749, 841/929 i.e 1/695821 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/749, 841/929.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 391/749,841/929
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 391/749,841/929, numerators are 391,841
Denominators are 749,929
The GCF of 391,841 is 1 .
LCM of 749,929 is 695821.
The greatest common factor of 391/749,841/929 = [GCF of 391,841]/[LCM of 749,929]= 1/695821
Therefore, the GCF of 391/749,841/929 is 1/695821.
To find the highest common factor of 391,841, we have to find the factors of both numbers and list the highest common factor.
The factors of 391 are 1, 17, 23, 391
The factors of 841 are 1, 29, 841
The HCF of 391,841 is 1.
Lets's calculate GCF of 391,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 391
:1,17,23,391
Now, list down the factors of 841
:1,29,841
Greatest Common Factor
We found the factors 391,841 . The biggest common factor number is the GCF number.
So the greatest common factor 391,841 is 1.
Lets's calculate LCM of 749,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 695821
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/695821
Therefore, the GCF of Fractions 391/749,841/929 is 1/695821
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 749,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,929) x common factors =1 x 1 = 1
LCM(749,929) = ( 749 × 929 ) / 1
LCM(749,929) = 695821 / 1
LCM(749,929) = 695821
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 391,841?
The HCF of 391,841 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 391/749, 841/929?
Answer: GCF of Numerators as per given numbers 391/749, 841/929 is
GCF of Numerators i.e. for 391,841 is 1
LCM of denominators i.e. for 749,929 is 695821.
Thus, GCF of Fractions is 1/695821.Finally, GCF of Fractions for 391/749, 841/929 is 1/695821.