Use our free GCF of Fractions Calculator tool to compute the GCF of 899/942, 801/312 i.e 1/48984 easily. The following is the detailed procedure to determine the greatest common factor of fractions 899/942, 801/312.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 899/942,801/312
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 899/942,801/312, numerators are 899,801
Denominators are 942,312
The GCF of 899,801 is 1 .
LCM of 942,312 is 48984.
The greatest common factor of 899/942,801/312 = [GCF of 899,801]/[LCM of 942,312]= 1/48984
Therefore, the GCF of 899/942,801/312 is 1/48984.
To find the highest common factor of 899,801, we have to find the factors of both numbers and list the highest common factor.
The factors of 899 are 1, 29, 31, 899
The factors of 801 are 1, 3, 9, 89, 267, 801
The HCF of 899,801 is 1.
Lets's calculate GCF of 899,801
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 899
:1,29,31,899
Now, list down the factors of 801
:1,3,9,89,267,801
Greatest Common Factor
We found the factors 899,801 . The biggest common factor number is the GCF number.
So the greatest common factor 899,801 is 1.
Lets's calculate LCM of 942,312
2 | 942, 312 |
3 | 471, 156 |
157, 52 |
∴ So the LCM of the given numbers is 2 x 3 x 157 x 52 = 48984
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48984
Therefore, the GCF of Fractions 899/942,801/312 is 1/48984
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 942,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,312) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(942,312) x common factors =6 x 1 = 6
LCM(942,312) = ( 942 × 312 ) / 6
LCM(942,312) = 293904 / 6
LCM(942,312) = 48984
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 899,801?
The HCF of 899,801 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 899/942, 801/312?
Answer: GCF of Numerators as per given numbers 899/942, 801/312 is
GCF of Numerators i.e. for 899,801 is 1
LCM of denominators i.e. for 942,312 is 48984.
Thus, GCF of Fractions is 1/48984.Finally, GCF of Fractions for 899/942, 801/312 is 1/48984.