Use our free GCF of Fractions Calculator tool to compute the GCF of 6286/124, 1203/439 i.e 1/54436 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6286/124, 1203/439.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6286/124,1203/439
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 6286/124,1203/439, numerators are 6286,1203
Denominators are 124,439
The GCF of 6286,1203 is 1 .
LCM of 124,439 is 54436.
The greatest common factor of 6286/124,1203/439 = [GCF of 6286,1203]/[LCM of 124,439]= 1/54436
Therefore, the GCF of 6286/124,1203/439 is 1/54436.
To find the highest common factor of 6286,1203, we have to find the factors of both numbers and list the highest common factor.
The factors of 6286 are 1, 2, 7, 14, 449, 898, 3143, 6286
The factors of 1203 are 1, 3, 401, 1203
The HCF of 6286,1203 is 1.
Lets's calculate GCF of 6286,1203
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 6286
:1,2,7,14,449,898,3143,6286
Now, list down the factors of 1203
:1,3,401,1203
Greatest Common Factor
We found the factors 6286,1203 . The biggest common factor number is the GCF number.
So the greatest common factor 6286,1203 is 1.
Lets's calculate LCM of 124,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 54436
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54436
Therefore, the GCF of Fractions 6286/124,1203/439 is 1/54436
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 124,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(124,439) x common factors =1 x 1 = 1
LCM(124,439) = ( 124 × 439 ) / 1
LCM(124,439) = 54436 / 1
LCM(124,439) = 54436
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 6286,1203?
The HCF of 6286,1203 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 6286/124, 1203/439?
Answer: GCF of Numerators as per given numbers 6286/124, 1203/439 is
GCF of Numerators i.e. for 6286,1203 is 1
LCM of denominators i.e. for 124,439 is 54436.
Thus, GCF of Fractions is 1/54436.Finally, GCF of Fractions for 6286/124, 1203/439 is 1/54436.