Use our free GCF of Fractions Calculator tool to compute the GCF of 4386/460, 1579/5520 i.e 1/5520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4386/460, 1579/5520.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4386/460,1579/5520
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 4386/460,1579/5520, numerators are 4386,1579
Denominators are 460,5520
The GCF of 4386,1579 is 1 .
LCM of 460,5520 is 5520.
The greatest common factor of 4386/460,1579/5520 = [GCF of 4386,1579]/[LCM of 460,5520]= 1/5520
Therefore, the GCF of 4386/460,1579/5520 is 1/5520.
To find the highest common factor of 4386,1579, we have to find the factors of both numbers and list the highest common factor.
The factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386
The factors of 1579 are 1, 1579
The HCF of 4386,1579 is 1.
Lets's calculate GCF of 4386,1579
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4386
:1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386
Now, list down the factors of 1579
:1,1579
Greatest Common Factor
We found the factors 4386,1579 . The biggest common factor number is the GCF number.
So the greatest common factor 4386,1579 is 1.
Lets's calculate LCM of 460,5520
2 | 460, 5520 |
2 | 230, 2760 |
5 | 115, 1380 |
23 | 23, 276 |
1, 12 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 1 x 12 = 5520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5520
Therefore, the GCF of Fractions 4386/460,1579/5520 is 1/5520
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 460,5520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,5520) = 460
common factors(in case of two or more numbers have common factors) = 1
GCF(460,5520) x common factors =460 x 1 = 460
LCM(460,5520) = ( 460 × 5520 ) / 460
LCM(460,5520) = 2539200 / 460
LCM(460,5520) = 5520
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4386,1579?
The HCF of 4386,1579 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 4386/460, 1579/5520?
Answer: GCF of Numerators as per given numbers 4386/460, 1579/5520 is
GCF of Numerators i.e. for 4386,1579 is 1
LCM of denominators i.e. for 460,5520 is 5520.
Thus, GCF of Fractions is 1/5520.Finally, GCF of Fractions for 4386/460, 1579/5520 is 1/5520.