Use our free GCF of Fractions Calculator tool to compute the GCF of 4618/307, 6655/7232 i.e 1/2220224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4618/307, 6655/7232.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4618/307,6655/7232
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 4618/307,6655/7232, numerators are 4618,6655
Denominators are 307,7232
The GCF of 4618,6655 is 1 .
LCM of 307,7232 is 2220224.
The greatest common factor of 4618/307,6655/7232 = [GCF of 4618,6655]/[LCM of 307,7232]= 1/2220224
Therefore, the GCF of 4618/307,6655/7232 is 1/2220224.
To find the highest common factor of 4618,6655, we have to find the factors of both numbers and list the highest common factor.
The factors of 4618 are 1, 2, 2309, 4618
The factors of 6655 are 1, 5, 11, 55, 121, 605, 1331, 6655
The HCF of 4618,6655 is 1.
Lets's calculate GCF of 4618,6655
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4618
:1,2,2309,4618
Now, list down the factors of 6655
:1,5,11,55,121,605,1331,6655
Greatest Common Factor
We found the factors 4618,6655 . The biggest common factor number is the GCF number.
So the greatest common factor 4618,6655 is 1.
Lets's calculate LCM of 307,7232
Given numbers has no common factors except 1. So, there LCM is their product i.e 2220224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2220224
Therefore, the GCF of Fractions 4618/307,6655/7232 is 1/2220224
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 307,7232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,7232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,7232) x common factors =1 x 1 = 1
LCM(307,7232) = ( 307 × 7232 ) / 1
LCM(307,7232) = 2220224 / 1
LCM(307,7232) = 2220224
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4618,6655?
The HCF of 4618,6655 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 4618/307, 6655/7232?
Answer: GCF of Numerators as per given numbers 4618/307, 6655/7232 is
GCF of Numerators i.e. for 4618,6655 is 1
LCM of denominators i.e. for 307,7232 is 2220224.
Thus, GCF of Fractions is 1/2220224.Finally, GCF of Fractions for 4618/307, 6655/7232 is 1/2220224.