Use our free GCF of Fractions Calculator tool to compute the GCF of 3043/153, 6098/2018 i.e 1/308754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3043/153, 6098/2018.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3043/153,6098/2018
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 3043/153,6098/2018, numerators are 3043,6098
Denominators are 153,2018
The GCF of 3043,6098 is 1 .
LCM of 153,2018 is 308754.
The greatest common factor of 3043/153,6098/2018 = [GCF of 3043,6098]/[LCM of 153,2018]= 1/308754
Therefore, the GCF of 3043/153,6098/2018 is 1/308754.
To find the highest common factor of 3043,6098, we have to find the factors of both numbers and list the highest common factor.
The factors of 3043 are 1, 17, 179, 3043
The factors of 6098 are 1, 2, 3049, 6098
The HCF of 3043,6098 is 1.
Lets's calculate GCF of 3043,6098
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3043
:1,17,179,3043
Now, list down the factors of 6098
:1,2,3049,6098
Greatest Common Factor
We found the factors 3043,6098 . The biggest common factor number is the GCF number.
So the greatest common factor 3043,6098 is 1.
Lets's calculate LCM of 153,2018
Given numbers has no common factors except 1. So, there LCM is their product i.e 308754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308754
Therefore, the GCF of Fractions 3043/153,6098/2018 is 1/308754
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 153,2018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,2018) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,2018) x common factors =1 x 1 = 1
LCM(153,2018) = ( 153 × 2018 ) / 1
LCM(153,2018) = 308754 / 1
LCM(153,2018) = 308754
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3043,6098?
The HCF of 3043,6098 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 3043/153, 6098/2018?
Answer: GCF of Numerators as per given numbers 3043/153, 6098/2018 is
GCF of Numerators i.e. for 3043,6098 is 1
LCM of denominators i.e. for 153,2018 is 308754.
Thus, GCF of Fractions is 1/308754.Finally, GCF of Fractions for 3043/153, 6098/2018 is 1/308754.