Use our free GCF of Fractions Calculator tool to compute the GCF of 188/342, 2870/545 i.e 2/186390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 188/342, 2870/545.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 188/342,2870/545
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 188/342,2870/545, numerators are 188,2870
Denominators are 342,545
The GCF of 188,2870 is 2 .
LCM of 342,545 is 186390.
The greatest common factor of 188/342,2870/545 = [GCF of 188,2870]/[LCM of 342,545]= 2/186390
Therefore, the GCF of 188/342,2870/545 is 2/186390.
To find the highest common factor of 188,2870, we have to find the factors of both numbers and list the highest common factor.
The factors of 188 are 1, 2, 4, 47, 94, 188
The factors of 2870 are 1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435, 2870
The HCF of 188,2870 is 2.
Lets's calculate GCF of 188,2870
2 | 188, 2870 |
94, 1435 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 188
:1,2,4,47,94,188
Now, list down the factors of 2870
:1,2,5,7,10,14,35,41,70,82,205,287,410,574,1435,2870
Greatest Common Factor
We found the factors 188,2870 . The biggest common factor number is the GCF number.
So the greatest common factor 188,2870 is 2.
Lets's calculate LCM of 342,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 186390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/186390
Therefore, the GCF of Fractions 188/342,2870/545 is 2/186390
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 342,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(342,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(342,545) x common factors =1 x 1 = 1
LCM(342,545) = ( 342 × 545 ) / 1
LCM(342,545) = 186390 / 1
LCM(342,545) = 186390
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 188,2870?
The HCF of 188,2870 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 188/342, 2870/545?
Answer: GCF of Numerators as per given numbers 188/342, 2870/545 is
GCF of Numerators i.e. for 188,2870 is 2
LCM of denominators i.e. for 342,545 is 186390.
Thus, GCF of Fractions is 2/186390.Finally, GCF of Fractions for 188/342, 2870/545 is 2/186390.