Use our free GCF of Fractions Calculator tool to compute the GCF of 3030/265, 1873/345 i.e 1/18285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3030/265, 1873/345.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3030/265,1873/345
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 3030/265,1873/345, numerators are 3030,1873
Denominators are 265,345
The GCF of 3030,1873 is 1 .
LCM of 265,345 is 18285.
The greatest common factor of 3030/265,1873/345 = [GCF of 3030,1873]/[LCM of 265,345]= 1/18285
Therefore, the GCF of 3030/265,1873/345 is 1/18285.
To find the highest common factor of 3030,1873, we have to find the factors of both numbers and list the highest common factor.
The factors of 3030 are 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030
The factors of 1873 are 1, 1873
The HCF of 3030,1873 is 1.
Lets's calculate GCF of 3030,1873
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3030
:1,2,3,5,6,10,15,30,101,202,303,505,606,1010,1515,3030
Now, list down the factors of 1873
:1,1873
Greatest Common Factor
We found the factors 3030,1873 . The biggest common factor number is the GCF number.
So the greatest common factor 3030,1873 is 1.
Lets's calculate LCM of 265,345
5 | 265, 345 |
53, 69 |
∴ So the LCM of the given numbers is 5 x 53 x 69 = 18285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18285
Therefore, the GCF of Fractions 3030/265,1873/345 is 1/18285
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 265,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,345) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(265,345) x common factors =5 x 1 = 5
LCM(265,345) = ( 265 × 345 ) / 5
LCM(265,345) = 91425 / 5
LCM(265,345) = 18285
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3030,1873?
The HCF of 3030,1873 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 3030/265, 1873/345?
Answer: GCF of Numerators as per given numbers 3030/265, 1873/345 is
GCF of Numerators i.e. for 3030,1873 is 1
LCM of denominators i.e. for 265,345 is 18285.
Thus, GCF of Fractions is 1/18285.Finally, GCF of Fractions for 3030/265, 1873/345 is 1/18285.