Use our free GCF of Fractions Calculator tool to compute the GCF of 5686/306, 5454/3925 i.e 2/1201050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5686/306, 5454/3925.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5686/306,5454/3925
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 5686/306,5454/3925, numerators are 5686,5454
Denominators are 306,3925
The GCF of 5686,5454 is 2 .
LCM of 306,3925 is 1201050.
The greatest common factor of 5686/306,5454/3925 = [GCF of 5686,5454]/[LCM of 306,3925]= 2/1201050
Therefore, the GCF of 5686/306,5454/3925 is 2/1201050.
To find the highest common factor of 5686,5454, we have to find the factors of both numbers and list the highest common factor.
The factors of 5686 are 1, 2, 2843, 5686
The factors of 5454 are 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454
The HCF of 5686,5454 is 2.
Lets's calculate GCF of 5686,5454
2 | 5686, 5454 |
2843, 2727 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 5686
:1,2,2843,5686
Now, list down the factors of 5454
:1,2,3,6,9,18,27,54,101,202,303,606,909,1818,2727,5454
Greatest Common Factor
We found the factors 5686,5454 . The biggest common factor number is the GCF number.
So the greatest common factor 5686,5454 is 2.
Lets's calculate LCM of 306,3925
Given numbers has no common factors except 1. So, there LCM is their product i.e 1201050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1201050
Therefore, the GCF of Fractions 5686/306,5454/3925 is 2/1201050
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 306,3925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,3925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(306,3925) x common factors =1 x 1 = 1
LCM(306,3925) = ( 306 × 3925 ) / 1
LCM(306,3925) = 1201050 / 1
LCM(306,3925) = 1201050
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5686,5454?
The HCF of 5686,5454 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 5686/306, 5454/3925?
Answer: GCF of Numerators as per given numbers 5686/306, 5454/3925 is
GCF of Numerators i.e. for 5686,5454 is 2
LCM of denominators i.e. for 306,3925 is 1201050.
Thus, GCF of Fractions is 2/1201050.Finally, GCF of Fractions for 5686/306, 5454/3925 is 2/1201050.