Use our free GCF of Fractions Calculator tool to compute the GCF of 2347/344, 7134/3300 i.e 1/283800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2347/344, 7134/3300.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2347/344,7134/3300
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 2347/344,7134/3300, numerators are 2347,7134
Denominators are 344,3300
The GCF of 2347,7134 is 1 .
LCM of 344,3300 is 283800.
The greatest common factor of 2347/344,7134/3300 = [GCF of 2347,7134]/[LCM of 344,3300]= 1/283800
Therefore, the GCF of 2347/344,7134/3300 is 1/283800.
To find the highest common factor of 2347,7134, we have to find the factors of both numbers and list the highest common factor.
The factors of 2347 are 1, 2347
The factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134
The HCF of 2347,7134 is 1.
Lets's calculate GCF of 2347,7134
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2347
:1,2347
Now, list down the factors of 7134
:1,2,3,6,29,41,58,82,87,123,174,246,1189,2378,3567,7134
Greatest Common Factor
We found the factors 2347,7134 . The biggest common factor number is the GCF number.
So the greatest common factor 2347,7134 is 1.
Lets's calculate LCM of 344,3300
2 | 344, 3300 |
2 | 172, 1650 |
86, 825 |
∴ So the LCM of the given numbers is 2 x 2 x 86 x 825 = 283800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283800
Therefore, the GCF of Fractions 2347/344,7134/3300 is 1/283800
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 344,3300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(344,3300) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(344,3300) x common factors =4 x 1 = 4
LCM(344,3300) = ( 344 × 3300 ) / 4
LCM(344,3300) = 1135200 / 4
LCM(344,3300) = 283800
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2347,7134?
The HCF of 2347,7134 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 2347/344, 7134/3300?
Answer: GCF of Numerators as per given numbers 2347/344, 7134/3300 is
GCF of Numerators i.e. for 2347,7134 is 1
LCM of denominators i.e. for 344,3300 is 283800.
Thus, GCF of Fractions is 1/283800.Finally, GCF of Fractions for 2347/344, 7134/3300 is 1/283800.