Use our free GCF of Fractions Calculator tool to compute the GCF of 8745/443, 6345/4263 i.e 15/1888509 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8745/443, 6345/4263.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8745/443,6345/4263
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 8745/443,6345/4263, numerators are 8745,6345
Denominators are 443,4263
The GCF of 8745,6345 is 15 .
LCM of 443,4263 is 1888509.
The greatest common factor of 8745/443,6345/4263 = [GCF of 8745,6345]/[LCM of 443,4263]= 15/1888509
Therefore, the GCF of 8745/443,6345/4263 is 15/1888509.
To find the highest common factor of 8745,6345, we have to find the factors of both numbers and list the highest common factor.
The factors of 8745 are 1, 3, 5, 11, 15, 33, 53, 55, 159, 165, 265, 583, 795, 1749, 2915, 8745
The factors of 6345 are 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345
The HCF of 8745,6345 is 15.
Lets's calculate GCF of 8745,6345
3 | 8745, 6345 |
5 | 2915, 2115 |
583, 423 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Now, list down the factors of 8745
:1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745
Now, list down the factors of 6345
:1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345
Greatest Common Factor
We found the factors 8745,6345 . The biggest common factor number is the GCF number.
So the greatest common factor 8745,6345 is 15.
Lets's calculate LCM of 443,4263
Given numbers has no common factors except 1. So, there LCM is their product i.e 1888509
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1888509
Therefore, the GCF of Fractions 8745/443,6345/4263 is 15/1888509
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 443,4263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,4263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,4263) x common factors =1 x 1 = 1
LCM(443,4263) = ( 443 × 4263 ) / 1
LCM(443,4263) = 1888509 / 1
LCM(443,4263) = 1888509
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8745,6345?
The HCF of 8745,6345 is 15
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 8745/443, 6345/4263?
Answer: GCF of Numerators as per given numbers 8745/443, 6345/4263 is
GCF of Numerators i.e. for 8745,6345 is 15
LCM of denominators i.e. for 443,4263 is 1888509.
Thus, GCF of Fractions is 15/1888509.Finally, GCF of Fractions for 8745/443, 6345/4263 is 15/1888509.