Use our free GCF of Fractions Calculator tool to compute the GCF of 6966/549, 1991/9860 i.e 1/5413140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6966/549, 1991/9860.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6966/549,1991/9860
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 6966/549,1991/9860, numerators are 6966,1991
Denominators are 549,9860
The GCF of 6966,1991 is 1 .
LCM of 549,9860 is 5413140.
The greatest common factor of 6966/549,1991/9860 = [GCF of 6966,1991]/[LCM of 549,9860]= 1/5413140
Therefore, the GCF of 6966/549,1991/9860 is 1/5413140.
To find the highest common factor of 6966,1991, we have to find the factors of both numbers and list the highest common factor.
The factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966
The factors of 1991 are 1, 11, 181, 1991
The HCF of 6966,1991 is 1.
Lets's calculate GCF of 6966,1991
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6966
:1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966
Now, list down the factors of 1991
:1,11,181,1991
Greatest Common Factor
We found the factors 6966,1991 . The biggest common factor number is the GCF number.
So the greatest common factor 6966,1991 is 1.
Lets's calculate LCM of 549,9860
Given numbers has no common factors except 1. So, there LCM is their product i.e 5413140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5413140
Therefore, the GCF of Fractions 6966/549,1991/9860 is 1/5413140
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 549,9860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,9860) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,9860) x common factors =1 x 1 = 1
LCM(549,9860) = ( 549 × 9860 ) / 1
LCM(549,9860) = 5413140 / 1
LCM(549,9860) = 5413140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6966,1991?
The HCF of 6966,1991 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 6966/549, 1991/9860?
Answer: GCF of Numerators as per given numbers 6966/549, 1991/9860 is
GCF of Numerators i.e. for 6966,1991 is 1
LCM of denominators i.e. for 549,9860 is 5413140.
Thus, GCF of Fractions is 1/5413140.Finally, GCF of Fractions for 6966/549, 1991/9860 is 1/5413140.