Use our free GCF of Fractions Calculator tool to compute the GCF of 7009/501, 5691/3764 i.e 1/1885764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7009/501, 5691/3764.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7009/501,5691/3764
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 7009/501,5691/3764, numerators are 7009,5691
Denominators are 501,3764
The GCF of 7009,5691 is 1 .
LCM of 501,3764 is 1885764.
The greatest common factor of 7009/501,5691/3764 = [GCF of 7009,5691]/[LCM of 501,3764]= 1/1885764
Therefore, the GCF of 7009/501,5691/3764 is 1/1885764.
To find the highest common factor of 7009,5691, we have to find the factors of both numbers and list the highest common factor.
The factors of 7009 are 1, 43, 163, 7009
The factors of 5691 are 1, 3, 7, 21, 271, 813, 1897, 5691
The HCF of 7009,5691 is 1.
Lets's calculate GCF of 7009,5691
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7009
:1,43,163,7009
Now, list down the factors of 5691
:1,3,7,21,271,813,1897,5691
Greatest Common Factor
We found the factors 7009,5691 . The biggest common factor number is the GCF number.
So the greatest common factor 7009,5691 is 1.
Lets's calculate LCM of 501,3764
Given numbers has no common factors except 1. So, there LCM is their product i.e 1885764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1885764
Therefore, the GCF of Fractions 7009/501,5691/3764 is 1/1885764
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 501,3764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,3764) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,3764) x common factors =1 x 1 = 1
LCM(501,3764) = ( 501 × 3764 ) / 1
LCM(501,3764) = 1885764 / 1
LCM(501,3764) = 1885764
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7009,5691?
The HCF of 7009,5691 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 7009/501, 5691/3764?
Answer: GCF of Numerators as per given numbers 7009/501, 5691/3764 is
GCF of Numerators i.e. for 7009,5691 is 1
LCM of denominators i.e. for 501,3764 is 1885764.
Thus, GCF of Fractions is 1/1885764.Finally, GCF of Fractions for 7009/501, 5691/3764 is 1/1885764.