Use our free GCF of Fractions Calculator tool to compute the GCF of 149/443, 560/493 i.e 1/218399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 149/443, 560/493.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 149/443,560/493
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 149/443,560/493, numerators are 149,560
Denominators are 443,493
The GCF of 149,560 is 1 .
LCM of 443,493 is 218399.
The greatest common factor of 149/443,560/493 = [GCF of 149,560]/[LCM of 443,493]= 1/218399
Therefore, the GCF of 149/443,560/493 is 1/218399.
To find the highest common factor of 149,560, we have to find the factors of both numbers and list the highest common factor.
The factors of 149 are 1, 149
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 HCF of 149,560 is 1.
Lets's calculate GCF of 149,560
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 149
:1,149
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
Greatest Common Factor
We found the factors 149,560 . The biggest common factor number is the GCF number.
So the greatest common factor 149,560 is 1.
Lets's calculate LCM of 443,493
Given numbers has no common factors except 1. So, there LCM is their product i.e 218399
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218399
Therefore, the GCF of Fractions 149/443,560/493 is 1/218399
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 443,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,493) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,493) x common factors =1 x 1 = 1
LCM(443,493) = ( 443 × 493 ) / 1
LCM(443,493) = 218399 / 1
LCM(443,493) = 218399
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 149,560?
The HCF of 149,560 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 149/443, 560/493?
Answer: GCF of Numerators as per given numbers 149/443, 560/493 is
GCF of Numerators i.e. for 149,560 is 1
LCM of denominators i.e. for 443,493 is 218399.
Thus, GCF of Fractions is 1/218399.Finally, GCF of Fractions for 149/443, 560/493 is 1/218399.