Use our free GCF of Fractions Calculator tool to compute the GCF of 582/986, 196/469 i.e 2/462434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 582/986, 196/469.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 582/986,196/469
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 582/986,196/469, numerators are 582,196
Denominators are 986,469
The GCF of 582,196 is 2 .
LCM of 986,469 is 462434.
The greatest common factor of 582/986,196/469 = [GCF of 582,196]/[LCM of 986,469]= 2/462434
Therefore, the GCF of 582/986,196/469 is 2/462434.
To find the highest common factor of 582,196, we have to find the factors of both numbers and list the highest common factor.
The factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582
The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196
The HCF of 582,196 is 2.
Lets's calculate GCF of 582,196
2 | 582, 196 |
291, 98 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 582
:1,2,3,6,97,194,291,582
Now, list down the factors of 196
:1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 582,196 . The biggest common factor number is the GCF number.
So the greatest common factor 582,196 is 2.
Lets's calculate LCM of 986,469
Given numbers has no common factors except 1. So, there LCM is their product i.e 462434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/462434
Therefore, the GCF of Fractions 582/986,196/469 is 2/462434
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 986,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,469) x common factors =1 x 1 = 1
LCM(986,469) = ( 986 × 469 ) / 1
LCM(986,469) = 462434 / 1
LCM(986,469) = 462434
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 582,196?
The HCF of 582,196 is 2
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 582/986, 196/469?
Answer: GCF of Numerators as per given numbers 582/986, 196/469 is
GCF of Numerators i.e. for 582,196 is 2
LCM of denominators i.e. for 986,469 is 462434.
Thus, GCF of Fractions is 2/462434.Finally, GCF of Fractions for 582/986, 196/469 is 2/462434.