Use our free GCF of Fractions Calculator tool to compute the GCF of 391/406, 525/871 i.e 1/353626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/406, 525/871.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 391/406,525/871
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 391/406,525/871, numerators are 391,525
Denominators are 406,871
The GCF of 391,525 is 1 .
LCM of 406,871 is 353626.
The greatest common factor of 391/406,525/871 = [GCF of 391,525]/[LCM of 406,871]= 1/353626
Therefore, the GCF of 391/406,525/871 is 1/353626.
To find the highest common factor of 391,525, 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 525 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
The HCF of 391,525 is 1.
Lets's calculate GCF of 391,525
∴ 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 525
:1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 391,525 . The biggest common factor number is the GCF number.
So the greatest common factor 391,525 is 1.
Lets's calculate LCM of 406,871
Given numbers has no common factors except 1. So, there LCM is their product i.e 353626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/353626
Therefore, the GCF of Fractions 391/406,525/871 is 1/353626
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 406,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,871) x common factors =1 x 1 = 1
LCM(406,871) = ( 406 × 871 ) / 1
LCM(406,871) = 353626 / 1
LCM(406,871) = 353626
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 391,525?
The HCF of 391,525 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 391/406, 525/871?
Answer: GCF of Numerators as per given numbers 391/406, 525/871 is
GCF of Numerators i.e. for 391,525 is 1
LCM of denominators i.e. for 406,871 is 353626.
Thus, GCF of Fractions is 1/353626.Finally, GCF of Fractions for 391/406, 525/871 is 1/353626.