Use our free GCF of Fractions Calculator tool to compute the GCF of 5879/500, 3718/7080 i.e 1/177000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5879/500, 3718/7080.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5879/500,3718/7080
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 5879/500,3718/7080, numerators are 5879,3718
Denominators are 500,7080
The GCF of 5879,3718 is 1 .
LCM of 500,7080 is 177000.
The greatest common factor of 5879/500,3718/7080 = [GCF of 5879,3718]/[LCM of 500,7080]= 1/177000
Therefore, the GCF of 5879/500,3718/7080 is 1/177000.
To find the highest common factor of 5879,3718, we have to find the factors of both numbers and list the highest common factor.
The factors of 5879 are 1, 5879
The factors of 3718 are 1, 2, 11, 13, 22, 26, 143, 169, 286, 338, 1859, 3718
The HCF of 5879,3718 is 1.
Lets's calculate GCF of 5879,3718
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5879
:1,5879
Now, list down the factors of 3718
:1,2,11,13,22,26,143,169,286,338,1859,3718
Greatest Common Factor
We found the factors 5879,3718 . The biggest common factor number is the GCF number.
So the greatest common factor 5879,3718 is 1.
Lets's calculate LCM of 500,7080
2 | 500, 7080 |
2 | 250, 3540 |
5 | 125, 1770 |
25, 354 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 25 x 354 = 177000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/177000
Therefore, the GCF of Fractions 5879/500,3718/7080 is 1/177000
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 500,7080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,7080) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(500,7080) x common factors =20 x 1 = 20
LCM(500,7080) = ( 500 × 7080 ) / 20
LCM(500,7080) = 3540000 / 20
LCM(500,7080) = 177000
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5879,3718?
The HCF of 5879,3718 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 5879/500, 3718/7080?
Answer: GCF of Numerators as per given numbers 5879/500, 3718/7080 is
GCF of Numerators i.e. for 5879,3718 is 1
LCM of denominators i.e. for 500,7080 is 177000.
Thus, GCF of Fractions is 1/177000.Finally, GCF of Fractions for 5879/500, 3718/7080 is 1/177000.