Use our free GCF of Fractions Calculator tool to compute the GCF of 442/785, 801/305 i.e 1/47885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/785, 801/305.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 442/785,801/305
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 442/785,801/305, numerators are 442,801
Denominators are 785,305
The GCF of 442,801 is 1 .
LCM of 785,305 is 47885.
The greatest common factor of 442/785,801/305 = [GCF of 442,801]/[LCM of 785,305]= 1/47885
Therefore, the GCF of 442/785,801/305 is 1/47885.
To find the highest common factor of 442,801, we have to find the factors of both numbers and list the highest common factor.
The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442
The factors of 801 are 1, 3, 9, 89, 267, 801
The HCF of 442,801 is 1.
Lets's calculate GCF of 442,801
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 442
:1,2,13,17,26,34,221,442
Now, list down the factors of 801
:1,3,9,89,267,801
Greatest Common Factor
We found the factors 442,801 . The biggest common factor number is the GCF number.
So the greatest common factor 442,801 is 1.
Lets's calculate LCM of 785,305
5 | 785, 305 |
157, 61 |
∴ So the LCM of the given numbers is 5 x 157 x 61 = 47885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47885
Therefore, the GCF of Fractions 442/785,801/305 is 1/47885
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 785,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,305) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(785,305) x common factors =5 x 1 = 5
LCM(785,305) = ( 785 × 305 ) / 5
LCM(785,305) = 239425 / 5
LCM(785,305) = 47885
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 442,801?
The HCF of 442,801 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 442/785, 801/305?
Answer: GCF of Numerators as per given numbers 442/785, 801/305 is
GCF of Numerators i.e. for 442,801 is 1
LCM of denominators i.e. for 785,305 is 47885.
Thus, GCF of Fractions is 1/47885.Finally, GCF of Fractions for 442/785, 801/305 is 1/47885.