Use our free GCF of Fractions Calculator tool to compute the GCF of 3045/133, 1558/322 i.e 1/6118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3045/133, 1558/322.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3045/133,1558/322
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 3045/133,1558/322, numerators are 3045,1558
Denominators are 133,322
The GCF of 3045,1558 is 1 .
LCM of 133,322 is 6118.
The greatest common factor of 3045/133,1558/322 = [GCF of 3045,1558]/[LCM of 133,322]= 1/6118
Therefore, the GCF of 3045/133,1558/322 is 1/6118.
To find the highest common factor of 3045,1558, we have to find the factors of both numbers and list the highest common factor.
The factors of 3045 are 1, 3, 5, 7, 15, 21, 29, 35, 87, 105, 145, 203, 435, 609, 1015, 3045
The factors of 1558 are 1, 2, 19, 38, 41, 82, 779, 1558
The HCF of 3045,1558 is 1.
Lets's calculate GCF of 3045,1558
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3045
:1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045
Now, list down the factors of 1558
:1,2,19,38,41,82,779,1558
Greatest Common Factor
We found the factors 3045,1558 . The biggest common factor number is the GCF number.
So the greatest common factor 3045,1558 is 1.
Lets's calculate LCM of 133,322
7 | 133, 322 |
19, 46 |
∴ So the LCM of the given numbers is 7 x 19 x 46 = 6118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6118
Therefore, the GCF of Fractions 3045/133,1558/322 is 1/6118
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 133,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,322) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(133,322) x common factors =7 x 1 = 7
LCM(133,322) = ( 133 × 322 ) / 7
LCM(133,322) = 42826 / 7
LCM(133,322) = 6118
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3045,1558?
The HCF of 3045,1558 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 3045/133, 1558/322?
Answer: GCF of Numerators as per given numbers 3045/133, 1558/322 is
GCF of Numerators i.e. for 3045,1558 is 1
LCM of denominators i.e. for 133,322 is 6118.
Thus, GCF of Fractions is 1/6118.Finally, GCF of Fractions for 3045/133, 1558/322 is 1/6118.