Use our free GCF of Fractions Calculator tool to compute the GCF of 6670/190, 6546/6080 i.e 2/6080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6670/190, 6546/6080.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6670/190,6546/6080
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 6670/190,6546/6080, numerators are 6670,6546
Denominators are 190,6080
The GCF of 6670,6546 is 2 .
LCM of 190,6080 is 6080.
The greatest common factor of 6670/190,6546/6080 = [GCF of 6670,6546]/[LCM of 190,6080]= 2/6080
Therefore, the GCF of 6670/190,6546/6080 is 2/6080.
To find the highest common factor of 6670,6546, we have to find the factors of both numbers and list the highest common factor.
The factors of 6670 are 1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670
The factors of 6546 are 1, 2, 3, 6, 1091, 2182, 3273, 6546
The HCF of 6670,6546 is 2.
Lets's calculate GCF of 6670,6546
2 | 6670, 6546 |
3335, 3273 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 6670
:1,2,5,10,23,29,46,58,115,145,230,290,667,1334,3335,6670
Now, list down the factors of 6546
:1,2,3,6,1091,2182,3273,6546
Greatest Common Factor
We found the factors 6670,6546 . The biggest common factor number is the GCF number.
So the greatest common factor 6670,6546 is 2.
Lets's calculate LCM of 190,6080
2 | 190, 6080 |
5 | 95, 3040 |
19 | 19, 608 |
1, 32 |
∴ So the LCM of the given numbers is 2 x 5 x 19 x 1 x 32 = 6080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6080
Therefore, the GCF of Fractions 6670/190,6546/6080 is 2/6080
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 190,6080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,6080) = 190
common factors(in case of two or more numbers have common factors) = 1
GCF(190,6080) x common factors =190 x 1 = 190
LCM(190,6080) = ( 190 × 6080 ) / 190
LCM(190,6080) = 1155200 / 190
LCM(190,6080) = 6080
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6670,6546?
The HCF of 6670,6546 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 6670/190, 6546/6080?
Answer: GCF of Numerators as per given numbers 6670/190, 6546/6080 is
GCF of Numerators i.e. for 6670,6546 is 2
LCM of denominators i.e. for 190,6080 is 6080.
Thus, GCF of Fractions is 2/6080.Finally, GCF of Fractions for 6670/190, 6546/6080 is 2/6080.