Use our free GCF of Fractions Calculator tool to compute the GCF of 3390/140, 6115/9647 i.e 5/1350580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3390/140, 6115/9647.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3390/140,6115/9647
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 3390/140,6115/9647, numerators are 3390,6115
Denominators are 140,9647
The GCF of 3390,6115 is 5 .
LCM of 140,9647 is 1350580.
The greatest common factor of 3390/140,6115/9647 = [GCF of 3390,6115]/[LCM of 140,9647]= 5/1350580
Therefore, the GCF of 3390/140,6115/9647 is 5/1350580.
To find the highest common factor of 3390,6115, we have to find the factors of both numbers and list the highest common factor.
The factors of 3390 are 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390
The factors of 6115 are 1, 5, 1223, 6115
The HCF of 3390,6115 is 5.
Lets's calculate GCF of 3390,6115
5 | 3390, 6115 |
678, 1223 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 3390
:1,2,3,5,6,10,15,30,113,226,339,565,678,1130,1695,3390
Now, list down the factors of 6115
:1,5,1223,6115
Greatest Common Factor
We found the factors 3390,6115 . The biggest common factor number is the GCF number.
So the greatest common factor 3390,6115 is 5.
Lets's calculate LCM of 140,9647
Given numbers has no common factors except 1. So, there LCM is their product i.e 1350580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1350580
Therefore, the GCF of Fractions 3390/140,6115/9647 is 5/1350580
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 140,9647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,9647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(140,9647) x common factors =1 x 1 = 1
LCM(140,9647) = ( 140 × 9647 ) / 1
LCM(140,9647) = 1350580 / 1
LCM(140,9647) = 1350580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3390,6115?
The HCF of 3390,6115 is 5
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 3390/140, 6115/9647?
Answer: GCF of Numerators as per given numbers 3390/140, 6115/9647 is
GCF of Numerators i.e. for 3390,6115 is 5
LCM of denominators i.e. for 140,9647 is 1350580.
Thus, GCF of Fractions is 5/1350580.Finally, GCF of Fractions for 3390/140, 6115/9647 is 5/1350580.