Use our free GCF of Fractions Calculator tool to compute the GCF of 982/576, 283/365 i.e 1/210240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 982/576, 283/365.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 982/576,283/365
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 982/576,283/365, numerators are 982,283
Denominators are 576,365
The GCF of 982,283 is 1 .
LCM of 576,365 is 210240.
The greatest common factor of 982/576,283/365 = [GCF of 982,283]/[LCM of 576,365]= 1/210240
Therefore, the GCF of 982/576,283/365 is 1/210240.
To find the highest common factor of 982,283, we have to find the factors of both numbers and list the highest common factor.
The factors of 982 are 1, 2, 491, 982
The factors of 283 are 1, 283
The HCF of 982,283 is 1.
Lets's calculate GCF of 982,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 982
:1,2,491,982
Now, list down the factors of 283
:1,283
Greatest Common Factor
We found the factors 982,283 . The biggest common factor number is the GCF number.
So the greatest common factor 982,283 is 1.
Lets's calculate LCM of 576,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 210240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210240
Therefore, the GCF of Fractions 982/576,283/365 is 1/210240
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 576,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(576,365) x common factors =1 x 1 = 1
LCM(576,365) = ( 576 × 365 ) / 1
LCM(576,365) = 210240 / 1
LCM(576,365) = 210240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 982,283?
The HCF of 982,283 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 982/576, 283/365?
Answer: GCF of Numerators as per given numbers 982/576, 283/365 is
GCF of Numerators i.e. for 982,283 is 1
LCM of denominators i.e. for 576,365 is 210240.
Thus, GCF of Fractions is 1/210240.Finally, GCF of Fractions for 982/576, 283/365 is 1/210240.