Use our free GCF of Fractions Calculator tool to compute the GCF of 448/470, 249/982 i.e 1/230770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/470, 249/982.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 448/470,249/982
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 448/470,249/982, numerators are 448,249
Denominators are 470,982
The GCF of 448,249 is 1 .
LCM of 470,982 is 230770.
The greatest common factor of 448/470,249/982 = [GCF of 448,249]/[LCM of 470,982]= 1/230770
Therefore, the GCF of 448/470,249/982 is 1/230770.
To find the highest common factor of 448,249, we have to find the factors of both numbers and list the highest common factor.
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
The factors of 249 are 1, 3, 83, 249
The HCF of 448,249 is 1.
Lets's calculate GCF of 448,249
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
Now, list down the factors of 249
:1,3,83,249
Greatest Common Factor
We found the factors 448,249 . The biggest common factor number is the GCF number.
So the greatest common factor 448,249 is 1.
Lets's calculate LCM of 470,982
2 | 470, 982 |
235, 491 |
∴ So the LCM of the given numbers is 2 x 235 x 491 = 230770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230770
Therefore, the GCF of Fractions 448/470,249/982 is 1/230770
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 470,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(470,982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(470,982) x common factors =2 x 1 = 2
LCM(470,982) = ( 470 × 982 ) / 2
LCM(470,982) = 461540 / 2
LCM(470,982) = 230770
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 448,249?
The HCF of 448,249 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 448/470, 249/982?
Answer: GCF of Numerators as per given numbers 448/470, 249/982 is
GCF of Numerators i.e. for 448,249 is 1
LCM of denominators i.e. for 470,982 is 230770.
Thus, GCF of Fractions is 1/230770.Finally, GCF of Fractions for 448/470, 249/982 is 1/230770.