Use our free GCF of Fractions Calculator tool to compute the GCF of 7721/607, 3605/441 i.e 7/267687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7721/607, 3605/441.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7721/607,3605/441
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 7721/607,3605/441, numerators are 7721,3605
Denominators are 607,441
The GCF of 7721,3605 is 7 .
LCM of 607,441 is 267687.
The greatest common factor of 7721/607,3605/441 = [GCF of 7721,3605]/[LCM of 607,441]= 7/267687
Therefore, the GCF of 7721/607,3605/441 is 7/267687.
To find the highest common factor of 7721,3605, we have to find the factors of both numbers and list the highest common factor.
The factors of 7721 are 1, 7, 1103, 7721
The factors of 3605 are 1, 5, 7, 35, 103, 515, 721, 3605
The HCF of 7721,3605 is 7.
Lets's calculate GCF of 7721,3605
7 | 7721, 3605 |
1103, 515 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 7721
:1,7,1103,7721
Now, list down the factors of 3605
:1,5,7,35,103,515,721,3605
Greatest Common Factor
We found the factors 7721,3605 . The biggest common factor number is the GCF number.
So the greatest common factor 7721,3605 is 7.
Lets's calculate LCM of 607,441
Given numbers has no common factors except 1. So, there LCM is their product i.e 267687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/267687
Therefore, the GCF of Fractions 7721/607,3605/441 is 7/267687
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 607,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,441) x common factors =1 x 1 = 1
LCM(607,441) = ( 607 × 441 ) / 1
LCM(607,441) = 267687 / 1
LCM(607,441) = 267687
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7721,3605?
The HCF of 7721,3605 is 7
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 7721/607, 3605/441?
Answer: GCF of Numerators as per given numbers 7721/607, 3605/441 is
GCF of Numerators i.e. for 7721,3605 is 7
LCM of denominators i.e. for 607,441 is 267687.
Thus, GCF of Fractions is 7/267687.Finally, GCF of Fractions for 7721/607, 3605/441 is 7/267687.