GCF of 1443/509, 8883/6101
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1443/509, 8883/6101 i.e 3/3105409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1443/509, 8883/6101.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 1443/509,8883/6101?
Given fractions are 1443/509,8883/6101
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 1443/509,8883/6101, numerators are 1443,8883
Denominators are 509,6101
The GCF of 1443,8883 is 3 .
LCM of 509,6101 is 3105409.
The greatest common factor of 1443/509,8883/6101 = [GCF of 1443,8883]/[LCM of 509,6101]= 3/3105409
Therefore, the GCF of 1443/509,8883/6101 is 3/3105409.
To find the highest common factor of 1443,8883, we have to find the factors of both numbers and list the highest common factor.
The factors of 1443 are 1, 3, 13, 37, 39, 111, 481, 1443
The factors of 8883 are 1, 3, 7, 9, 21, 27, 47, 63, 141, 189, 329, 423, 987, 1269, 2961, 8883
The HCF of 1443,8883 is 3.
Lets's calculate GCF of 1443,8883
| 3 | 1443, 8883 |
| 481, 2961 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1443,8883 By Matching Biggest Common Factor Method
Now, list down the factors of 1443
:1,3,13,37,39,111,481,1443
Now, list down the factors of 8883
:1,3,7,9,21,27,47,63,141,189,329,423,987,1269,2961,8883
Greatest Common Factor
We found the factors 1443,8883 . The biggest common factor number is the GCF number.
So the greatest common factor 1443,8883 is 3.
Lets's calculate LCM of 509,6101
Given numbers has no common factors except 1. So, there LCM is their product i.e 3105409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3105409
Therefore, the GCF of Fractions 1443/509,8883/6101 is 3/3105409
Least Common Multiple of 509,6101 with GCF Formula
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 509,6101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,6101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,6101) x common factors =1 x 1 = 1
LCM(509,6101) = ( 509 × 6101 ) / 1
LCM(509,6101) = 3105409 / 1
LCM(509,6101) = 3105409
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1443/509, 8883/6101
1. What is the HCF of 1443,8883?
The HCF of 1443,8883 is 3
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 1443/509, 8883/6101?
Answer: GCF of Numerators as per given numbers 1443/509, 8883/6101 is
GCF of Numerators i.e. for 1443,8883 is 3
LCM of denominators i.e. for 509,6101 is 3105409.
Thus, GCF of Fractions is 3/3105409.Finally, GCF of Fractions for 1443/509, 8883/6101 is 3/3105409.