Use our free GCF of Fractions Calculator tool to compute the GCF of 424/989, 143/309 i.e 1/305601 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/989, 143/309.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/989,143/309
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 424/989,143/309, numerators are 424,143
Denominators are 989,309
The GCF of 424,143 is 1 .
LCM of 989,309 is 305601.
The greatest common factor of 424/989,143/309 = [GCF of 424,143]/[LCM of 989,309]= 1/305601
Therefore, the GCF of 424/989,143/309 is 1/305601.
To find the highest common factor of 424,143, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 143 are 1, 11, 13, 143
The HCF of 424,143 is 1.
Lets's calculate GCF of 424,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 143
:1,11,13,143
Greatest Common Factor
We found the factors 424,143 . The biggest common factor number is the GCF number.
So the greatest common factor 424,143 is 1.
Lets's calculate LCM of 989,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 305601
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305601
Therefore, the GCF of Fractions 424/989,143/309 is 1/305601
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 989,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,309) x common factors =1 x 1 = 1
LCM(989,309) = ( 989 × 309 ) / 1
LCM(989,309) = 305601 / 1
LCM(989,309) = 305601
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 424,143?
The HCF of 424,143 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 424/989, 143/309?
Answer: GCF of Numerators as per given numbers 424/989, 143/309 is
GCF of Numerators i.e. for 424,143 is 1
LCM of denominators i.e. for 989,309 is 305601.
Thus, GCF of Fractions is 1/305601.Finally, GCF of Fractions for 424/989, 143/309 is 1/305601.