Use our free GCF of Fractions Calculator tool to compute the GCF of 560/366, 500/598 i.e 20/109434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 560/366, 500/598.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 560/366,500/598
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 560/366,500/598, numerators are 560,500
Denominators are 366,598
The GCF of 560,500 is 20 .
LCM of 366,598 is 109434.
The greatest common factor of 560/366,500/598 = [GCF of 560,500]/[LCM of 366,598]= 20/109434
Therefore, the GCF of 560/366,500/598 is 20/109434.
To find the highest common factor of 560,500, we have to find the factors of both numbers and list the highest common factor.
The factors of 560 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The HCF of 560,500 is 20.
Lets's calculate GCF of 560,500
2 | 560, 500 |
2 | 280, 250 |
5 | 140, 125 |
28, 25 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Now, list down the factors of 560
:1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Now, list down the factors of 500
:1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 560,500 . The biggest common factor number is the GCF number.
So the greatest common factor 560,500 is 20.
Lets's calculate LCM of 366,598
2 | 366, 598 |
183, 299 |
∴ So the LCM of the given numbers is 2 x 183 x 299 = 109434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/109434
Therefore, the GCF of Fractions 560/366,500/598 is 20/109434
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 366,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,598) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(366,598) x common factors =2 x 1 = 2
LCM(366,598) = ( 366 × 598 ) / 2
LCM(366,598) = 218868 / 2
LCM(366,598) = 109434
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 560,500?
The HCF of 560,500 is 20
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 560/366, 500/598?
Answer: GCF of Numerators as per given numbers 560/366, 500/598 is
GCF of Numerators i.e. for 560,500 is 20
LCM of denominators i.e. for 366,598 is 109434.
Thus, GCF of Fractions is 20/109434.Finally, GCF of Fractions for 560/366, 500/598 is 20/109434.