Use our free GCF of Fractions Calculator tool to compute the GCF of 10/412, 282/300, 847/645 i.e 1/1328700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 10/412, 282/300, 847/645.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 10/412,282/300,847/645
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 10/412,282/300,847/645, numerators are 10,282,847
Denominators are 412,300,645
The GCF of 10,282,847 is 1 .
LCM of 412,300,645 is 1328700.
The greatest common factor of 10/412,282/300,847/645 = [GCF of 10,282,847]/[LCM of 412,300,645]= 1/1328700
Therefore, the GCF of 10/412,282/300,847/645 is 1/1328700.
To find the highest common factor of 10,282,847, we have to find the factors of both numbers and list the highest common factor.
The factors of 10 are 1, 2, 5, 10
The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282
The factors of 847 are 1, 7, 11, 77, 121, 847
The HCF of 10,282,847 is 1.
Lets's calculate GCF of 10,282,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 282
:1,2,3,6,47,94,141,282
Now, list down the factors of 847
:1,7,11,77,121,847
Greatest Common Factor
We found the factors 10,282,847 . The biggest common factor number is the GCF number.
So the greatest common factor 10,282,847 is 1.
Lets's calculate LCM of 412,300,645
2 | 412, 300, 645 |
2 | 206, 150, 645 |
3 | 103, 75, 645 |
5 | 103, 25, 215 |
103, 5, 43 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 103 x 5 x 43 = 1328700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1328700
Therefore, the GCF of Fractions 10/412,282/300,847/645 is 1/1328700
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 412,300,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,300,645) = 1
common factors(in case of two or more numbers have common factors) = 60
GCF(412,300,645) x common factors =1 x 60 = 60
LCM(412,300,645) = ( 412 × 300 × 645 ) / 60
LCM(412,300,645) = 79722000 / 60
LCM(412,300,645) = 1328700
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 10,282,847?
The HCF of 10,282,847 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 10/412, 282/300, 847/645?
Answer: GCF of Numerators as per given numbers 10/412, 282/300, 847/645 is
GCF of Numerators i.e. for 10,282,847 is 1
LCM of denominators i.e. for 412,300,645 is 1328700.
Thus, GCF of Fractions is 1/1328700.Finally, GCF of Fractions for 10/412, 282/300, 847/645 is 1/1328700.