Use our free GCF of Fractions Calculator tool to compute the GCF of 898/619, 309/613 i.e 1/379447 easily. The following is the detailed procedure to determine the greatest common factor of fractions 898/619, 309/613.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 898/619,309/613
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 898/619,309/613, numerators are 898,309
Denominators are 619,613
The GCF of 898,309 is 1 .
LCM of 619,613 is 379447.
The greatest common factor of 898/619,309/613 = [GCF of 898,309]/[LCM of 619,613]= 1/379447
Therefore, the GCF of 898/619,309/613 is 1/379447.
To find the highest common factor of 898,309, we have to find the factors of both numbers and list the highest common factor.
The factors of 898 are 1, 2, 449, 898
The factors of 309 are 1, 3, 103, 309
The HCF of 898,309 is 1.
Lets's calculate GCF of 898,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 898
:1,2,449,898
Now, list down the factors of 309
:1,3,103,309
Greatest Common Factor
We found the factors 898,309 . The biggest common factor number is the GCF number.
So the greatest common factor 898,309 is 1.
Lets's calculate LCM of 619,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 379447
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/379447
Therefore, the GCF of Fractions 898/619,309/613 is 1/379447
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 619,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,613) x common factors =1 x 1 = 1
LCM(619,613) = ( 619 × 613 ) / 1
LCM(619,613) = 379447 / 1
LCM(619,613) = 379447
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 898,309?
The HCF of 898,309 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 898/619, 309/613?
Answer: GCF of Numerators as per given numbers 898/619, 309/613 is
GCF of Numerators i.e. for 898,309 is 1
LCM of denominators i.e. for 619,613 is 379447.
Thus, GCF of Fractions is 1/379447.Finally, GCF of Fractions for 898/619, 309/613 is 1/379447.