Use our free GCF of Fractions Calculator tool to compute the GCF of 1464/26, 5948/667 i.e 4/17342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1464/26, 5948/667.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1464/26,5948/667
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 1464/26,5948/667, numerators are 1464,5948
Denominators are 26,667
The GCF of 1464,5948 is 4 .
LCM of 26,667 is 17342.
The greatest common factor of 1464/26,5948/667 = [GCF of 1464,5948]/[LCM of 26,667]= 4/17342
Therefore, the GCF of 1464/26,5948/667 is 4/17342.
To find the highest common factor of 1464,5948, we have to find the factors of both numbers and list the highest common factor.
The factors of 1464 are 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464
The factors of 5948 are 1, 2, 4, 1487, 2974, 5948
The HCF of 1464,5948 is 4.
Lets's calculate GCF of 1464,5948
2 | 1464, 5948 |
2 | 732, 2974 |
366, 1487 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 1464
:1,2,3,4,6,8,12,24,61,122,183,244,366,488,732,1464
Now, list down the factors of 5948
:1,2,4,1487,2974,5948
Greatest Common Factor
We found the factors 1464,5948 . The biggest common factor number is the GCF number.
So the greatest common factor 1464,5948 is 4.
Lets's calculate LCM of 26,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 17342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/17342
Therefore, the GCF of Fractions 1464/26,5948/667 is 4/17342
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 26,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,667) x common factors =1 x 1 = 1
LCM(26,667) = ( 26 × 667 ) / 1
LCM(26,667) = 17342 / 1
LCM(26,667) = 17342
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1464,5948?
The HCF of 1464,5948 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 1464/26, 5948/667?
Answer: GCF of Numerators as per given numbers 1464/26, 5948/667 is
GCF of Numerators i.e. for 1464,5948 is 4
LCM of denominators i.e. for 26,667 is 17342.
Thus, GCF of Fractions is 4/17342.Finally, GCF of Fractions for 1464/26, 5948/667 is 4/17342.