Use our free GCF of Fractions Calculator tool to compute the GCF of 998/812, 619/931 i.e 1/107996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 998/812, 619/931.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 998/812,619/931
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 998/812,619/931, numerators are 998,619
Denominators are 812,931
The GCF of 998,619 is 1 .
LCM of 812,931 is 107996.
The greatest common factor of 998/812,619/931 = [GCF of 998,619]/[LCM of 812,931]= 1/107996
Therefore, the GCF of 998/812,619/931 is 1/107996.
To find the highest common factor of 998,619, we have to find the factors of both numbers and list the highest common factor.
The factors of 998 are 1, 2, 499, 998
The factors of 619 are 1, 619
The HCF of 998,619 is 1.
Lets's calculate GCF of 998,619
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 998
:1,2,499,998
Now, list down the factors of 619
:1,619
Greatest Common Factor
We found the factors 998,619 . The biggest common factor number is the GCF number.
So the greatest common factor 998,619 is 1.
Lets's calculate LCM of 812,931
7 | 812, 931 |
116, 133 |
∴ So the LCM of the given numbers is 7 x 116 x 133 = 107996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107996
Therefore, the GCF of Fractions 998/812,619/931 is 1/107996
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 812,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,931) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(812,931) x common factors =7 x 1 = 7
LCM(812,931) = ( 812 × 931 ) / 7
LCM(812,931) = 755972 / 7
LCM(812,931) = 107996
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 998,619?
The HCF of 998,619 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 998/812, 619/931?
Answer: GCF of Numerators as per given numbers 998/812, 619/931 is
GCF of Numerators i.e. for 998,619 is 1
LCM of denominators i.e. for 812,931 is 107996.
Thus, GCF of Fractions is 1/107996.Finally, GCF of Fractions for 998/812, 619/931 is 1/107996.