Use our free GCF of Fractions Calculator tool to compute the GCF of 4242/339, 1348/7733 i.e 2/2621487 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4242/339, 1348/7733.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4242/339,1348/7733
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 4242/339,1348/7733, numerators are 4242,1348
Denominators are 339,7733
The GCF of 4242,1348 is 2 .
LCM of 339,7733 is 2621487.
The greatest common factor of 4242/339,1348/7733 = [GCF of 4242,1348]/[LCM of 339,7733]= 2/2621487
Therefore, the GCF of 4242/339,1348/7733 is 2/2621487.
To find the highest common factor of 4242,1348, we have to find the factors of both numbers and list the highest common factor.
The factors of 4242 are 1, 2, 3, 6, 7, 14, 21, 42, 101, 202, 303, 606, 707, 1414, 2121, 4242
The factors of 1348 are 1, 2, 4, 337, 674, 1348
The HCF of 4242,1348 is 2.
Lets's calculate GCF of 4242,1348
2 | 4242, 1348 |
2121, 674 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 4242
:1,2,3,6,7,14,21,42,101,202,303,606,707,1414,2121,4242
Now, list down the factors of 1348
:1,2,4,337,674,1348
Greatest Common Factor
We found the factors 4242,1348 . The biggest common factor number is the GCF number.
So the greatest common factor 4242,1348 is 2.
Lets's calculate LCM of 339,7733
Given numbers has no common factors except 1. So, there LCM is their product i.e 2621487
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2621487
Therefore, the GCF of Fractions 4242/339,1348/7733 is 2/2621487
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 339,7733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,7733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,7733) x common factors =1 x 1 = 1
LCM(339,7733) = ( 339 × 7733 ) / 1
LCM(339,7733) = 2621487 / 1
LCM(339,7733) = 2621487
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4242,1348?
The HCF of 4242,1348 is 2
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 4242/339, 1348/7733?
Answer: GCF of Numerators as per given numbers 4242/339, 1348/7733 is
GCF of Numerators i.e. for 4242,1348 is 2
LCM of denominators i.e. for 339,7733 is 2621487.
Thus, GCF of Fractions is 2/2621487.Finally, GCF of Fractions for 4242/339, 1348/7733 is 2/2621487.