Use our free GCF of Fractions Calculator tool to compute the GCF of 4333/217, 1375/7029 i.e 1/1525293 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4333/217, 1375/7029.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4333/217,1375/7029
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 4333/217,1375/7029, numerators are 4333,1375
Denominators are 217,7029
The GCF of 4333,1375 is 1 .
LCM of 217,7029 is 1525293.
The greatest common factor of 4333/217,1375/7029 = [GCF of 4333,1375]/[LCM of 217,7029]= 1/1525293
Therefore, the GCF of 4333/217,1375/7029 is 1/1525293.
To find the highest common factor of 4333,1375, we have to find the factors of both numbers and list the highest common factor.
The factors of 4333 are 1, 7, 619, 4333
The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375
The HCF of 4333,1375 is 1.
Lets's calculate GCF of 4333,1375
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4333
:1,7,619,4333
Now, list down the factors of 1375
:1,5,11,25,55,125,275,1375
Greatest Common Factor
We found the factors 4333,1375 . The biggest common factor number is the GCF number.
So the greatest common factor 4333,1375 is 1.
Lets's calculate LCM of 217,7029
Given numbers has no common factors except 1. So, there LCM is their product i.e 1525293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1525293
Therefore, the GCF of Fractions 4333/217,1375/7029 is 1/1525293
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 217,7029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,7029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,7029) x common factors =1 x 1 = 1
LCM(217,7029) = ( 217 × 7029 ) / 1
LCM(217,7029) = 1525293 / 1
LCM(217,7029) = 1525293
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4333,1375?
The HCF of 4333,1375 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 4333/217, 1375/7029?
Answer: GCF of Numerators as per given numbers 4333/217, 1375/7029 is
GCF of Numerators i.e. for 4333,1375 is 1
LCM of denominators i.e. for 217,7029 is 1525293.
Thus, GCF of Fractions is 1/1525293.Finally, GCF of Fractions for 4333/217, 1375/7029 is 1/1525293.