Use our free GCF of Fractions Calculator tool to compute the GCF of 2670/934, 6801/4780 i.e 3/2232260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2670/934, 6801/4780.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2670/934,6801/4780
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 2670/934,6801/4780, numerators are 2670,6801
Denominators are 934,4780
The GCF of 2670,6801 is 3 .
LCM of 934,4780 is 2232260.
The greatest common factor of 2670/934,6801/4780 = [GCF of 2670,6801]/[LCM of 934,4780]= 3/2232260
Therefore, the GCF of 2670/934,6801/4780 is 3/2232260.
To find the highest common factor of 2670,6801, we have to find the factors of both numbers and list the highest common factor.
The factors of 2670 are 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670
The factors of 6801 are 1, 3, 2267, 6801
The HCF of 2670,6801 is 3.
Lets's calculate GCF of 2670,6801
3 | 2670, 6801 |
890, 2267 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 2670
:1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670
Now, list down the factors of 6801
:1,3,2267,6801
Greatest Common Factor
We found the factors 2670,6801 . The biggest common factor number is the GCF number.
So the greatest common factor 2670,6801 is 3.
Lets's calculate LCM of 934,4780
2 | 934, 4780 |
467, 2390 |
∴ So the LCM of the given numbers is 2 x 467 x 2390 = 2232260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2232260
Therefore, the GCF of Fractions 2670/934,6801/4780 is 3/2232260
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 934,4780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,4780) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,4780) x common factors =2 x 1 = 2
LCM(934,4780) = ( 934 × 4780 ) / 2
LCM(934,4780) = 4464520 / 2
LCM(934,4780) = 2232260
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2670,6801?
The HCF of 2670,6801 is 3
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 2670/934, 6801/4780?
Answer: GCF of Numerators as per given numbers 2670/934, 6801/4780 is
GCF of Numerators i.e. for 2670,6801 is 3
LCM of denominators i.e. for 934,4780 is 2232260.
Thus, GCF of Fractions is 3/2232260.Finally, GCF of Fractions for 2670/934, 6801/4780 is 3/2232260.