Use our free GCF of Fractions Calculator tool to compute the GCF of 168/279, 731/467 i.e 1/130293 easily. The following is the detailed procedure to determine the greatest common factor of fractions 168/279, 731/467.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 168/279,731/467
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 168/279,731/467, numerators are 168,731
Denominators are 279,467
The GCF of 168,731 is 1 .
LCM of 279,467 is 130293.
The greatest common factor of 168/279,731/467 = [GCF of 168,731]/[LCM of 279,467]= 1/130293
Therefore, the GCF of 168/279,731/467 is 1/130293.
To find the highest common factor of 168,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The factors of 731 are 1, 17, 43, 731
The HCF of 168,731 is 1.
Lets's calculate GCF of 168,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 168,731 . The biggest common factor number is the GCF number.
So the greatest common factor 168,731 is 1.
Lets's calculate LCM of 279,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 130293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130293
Therefore, the GCF of Fractions 168/279,731/467 is 1/130293
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 279,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(279,467) x common factors =1 x 1 = 1
LCM(279,467) = ( 279 × 467 ) / 1
LCM(279,467) = 130293 / 1
LCM(279,467) = 130293
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 168,731?
The HCF of 168,731 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 168/279, 731/467?
Answer: GCF of Numerators as per given numbers 168/279, 731/467 is
GCF of Numerators i.e. for 168,731 is 1
LCM of denominators i.e. for 279,467 is 130293.
Thus, GCF of Fractions is 1/130293.Finally, GCF of Fractions for 168/279, 731/467 is 1/130293.