Use our free GCF of Fractions Calculator tool to compute the GCF of 8390/997, 7968/6697 i.e 2/6676909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8390/997, 7968/6697.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8390/997,7968/6697
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 8390/997,7968/6697, numerators are 8390,7968
Denominators are 997,6697
The GCF of 8390,7968 is 2 .
LCM of 997,6697 is 6676909.
The greatest common factor of 8390/997,7968/6697 = [GCF of 8390,7968]/[LCM of 997,6697]= 2/6676909
Therefore, the GCF of 8390/997,7968/6697 is 2/6676909.
To find the highest common factor of 8390,7968, we have to find the factors of both numbers and list the highest common factor.
The factors of 8390 are 1, 2, 5, 10, 839, 1678, 4195, 8390
The factors of 7968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 7968
The HCF of 8390,7968 is 2.
Lets's calculate GCF of 8390,7968
2 | 8390, 7968 |
4195, 3984 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 8390
:1,2,5,10,839,1678,4195,8390
Now, list down the factors of 7968
:1,2,3,4,6,8,12,16,24,32,48,83,96,166,249,332,498,664,996,1328,1992,2656,3984,7968
Greatest Common Factor
We found the factors 8390,7968 . The biggest common factor number is the GCF number.
So the greatest common factor 8390,7968 is 2.
Lets's calculate LCM of 997,6697
Given numbers has no common factors except 1. So, there LCM is their product i.e 6676909
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6676909
Therefore, the GCF of Fractions 8390/997,7968/6697 is 2/6676909
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 997,6697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,6697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,6697) x common factors =1 x 1 = 1
LCM(997,6697) = ( 997 × 6697 ) / 1
LCM(997,6697) = 6676909 / 1
LCM(997,6697) = 6676909
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8390,7968?
The HCF of 8390,7968 is 2
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 8390/997, 7968/6697?
Answer: GCF of Numerators as per given numbers 8390/997, 7968/6697 is
GCF of Numerators i.e. for 8390,7968 is 2
LCM of denominators i.e. for 997,6697 is 6676909.
Thus, GCF of Fractions is 2/6676909.Finally, GCF of Fractions for 8390/997, 7968/6697 is 2/6676909.