Use our free GCF of Fractions Calculator tool to compute the GCF of 124/363, 168/687 i.e 4/83127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 124/363, 168/687.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 124/363,168/687
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 124/363,168/687, numerators are 124,168
Denominators are 363,687
The GCF of 124,168 is 4 .
LCM of 363,687 is 83127.
The greatest common factor of 124/363,168/687 = [GCF of 124,168]/[LCM of 363,687]= 4/83127
Therefore, the GCF of 124/363,168/687 is 4/83127.
To find the highest common factor of 124,168, we have to find the factors of both numbers and list the highest common factor.
The factors of 124 are 1, 2, 4, 31, 62, 124
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The HCF of 124,168 is 4.
Lets's calculate GCF of 124,168
2 | 124, 168 |
2 | 62, 84 |
31, 42 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 124
:1,2,4,31,62,124
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 124,168 . The biggest common factor number is the GCF number.
So the greatest common factor 124,168 is 4.
Lets's calculate LCM of 363,687
3 | 363, 687 |
121, 229 |
∴ So the LCM of the given numbers is 3 x 121 x 229 = 83127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/83127
Therefore, the GCF of Fractions 124/363,168/687 is 4/83127
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 363,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,687) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(363,687) x common factors =3 x 1 = 3
LCM(363,687) = ( 363 × 687 ) / 3
LCM(363,687) = 249381 / 3
LCM(363,687) = 83127
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 124,168?
The HCF of 124,168 is 4
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 124/363, 168/687?
Answer: GCF of Numerators as per given numbers 124/363, 168/687 is
GCF of Numerators i.e. for 124,168 is 4
LCM of denominators i.e. for 363,687 is 83127.
Thus, GCF of Fractions is 4/83127.Finally, GCF of Fractions for 124/363, 168/687 is 4/83127.