Use our free GCF of Fractions Calculator tool to compute the GCF of 5391/438, 7736/7054 i.e 1/1544826 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5391/438, 7736/7054.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5391/438,7736/7054
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 5391/438,7736/7054, numerators are 5391,7736
Denominators are 438,7054
The GCF of 5391,7736 is 1 .
LCM of 438,7054 is 1544826.
The greatest common factor of 5391/438,7736/7054 = [GCF of 5391,7736]/[LCM of 438,7054]= 1/1544826
Therefore, the GCF of 5391/438,7736/7054 is 1/1544826.
To find the highest common factor of 5391,7736, we have to find the factors of both numbers and list the highest common factor.
The factors of 5391 are 1, 3, 9, 599, 1797, 5391
The factors of 7736 are 1, 2, 4, 8, 967, 1934, 3868, 7736
The HCF of 5391,7736 is 1.
Lets's calculate GCF of 5391,7736
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5391
:1,3,9,599,1797,5391
Now, list down the factors of 7736
:1,2,4,8,967,1934,3868,7736
Greatest Common Factor
We found the factors 5391,7736 . The biggest common factor number is the GCF number.
So the greatest common factor 5391,7736 is 1.
Lets's calculate LCM of 438,7054
2 | 438, 7054 |
219, 3527 |
∴ So the LCM of the given numbers is 2 x 219 x 3527 = 1544826
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1544826
Therefore, the GCF of Fractions 5391/438,7736/7054 is 1/1544826
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 438,7054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,7054) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(438,7054) x common factors =2 x 1 = 2
LCM(438,7054) = ( 438 × 7054 ) / 2
LCM(438,7054) = 3089652 / 2
LCM(438,7054) = 1544826
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5391,7736?
The HCF of 5391,7736 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 5391/438, 7736/7054?
Answer: GCF of Numerators as per given numbers 5391/438, 7736/7054 is
GCF of Numerators i.e. for 5391,7736 is 1
LCM of denominators i.e. for 438,7054 is 1544826.
Thus, GCF of Fractions is 1/1544826.Finally, GCF of Fractions for 5391/438, 7736/7054 is 1/1544826.