Use our free GCF of Fractions Calculator tool to compute the GCF of 671/726, 305/895 i.e 61/649770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 671/726, 305/895.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 671/726,305/895
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 671/726,305/895, numerators are 671,305
Denominators are 726,895
The GCF of 671,305 is 61 .
LCM of 726,895 is 649770.
The greatest common factor of 671/726,305/895 = [GCF of 671,305]/[LCM of 726,895]= 61/649770
Therefore, the GCF of 671/726,305/895 is 61/649770.
To find the highest common factor of 671,305, we have to find the factors of both numbers and list the highest common factor.
The factors of 671 are 1, 11, 61, 671
The factors of 305 are 1, 5, 61, 305
The HCF of 671,305 is 61.
Lets's calculate GCF of 671,305
61 | 671, 305 |
11, 5 |
∴ So the GCF of the given numbers is 61 = 61
Now, list down the factors of 671
:1,11,61,671
Now, list down the factors of 305
:1,5,61,305
Greatest Common Factor
We found the factors 671,305 . The biggest common factor number is the GCF number.
So the greatest common factor 671,305 is 61.
Lets's calculate LCM of 726,895
Given numbers has no common factors except 1. So, there LCM is their product i.e 649770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/649770
Therefore, the GCF of Fractions 671/726,305/895 is 61/649770
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 726,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(726,895) x common factors =1 x 1 = 1
LCM(726,895) = ( 726 × 895 ) / 1
LCM(726,895) = 649770 / 1
LCM(726,895) = 649770
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 671,305?
The HCF of 671,305 is 61
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 671/726, 305/895?
Answer: GCF of Numerators as per given numbers 671/726, 305/895 is
GCF of Numerators i.e. for 671,305 is 61
LCM of denominators i.e. for 726,895 is 649770.
Thus, GCF of Fractions is 61/649770.Finally, GCF of Fractions for 671/726, 305/895 is 61/649770.