Use our free GCF of Fractions Calculator tool to compute the GCF of 147/540, 905/771 i.e 1/138780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 147/540, 905/771.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 147/540,905/771
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 147/540,905/771, numerators are 147,905
Denominators are 540,771
The GCF of 147,905 is 1 .
LCM of 540,771 is 138780.
The greatest common factor of 147/540,905/771 = [GCF of 147,905]/[LCM of 540,771]= 1/138780
Therefore, the GCF of 147/540,905/771 is 1/138780.
To find the highest common factor of 147,905, we have to find the factors of both numbers and list the highest common factor.
The factors of 147 are 1, 3, 7, 21, 49, 147
The factors of 905 are 1, 5, 181, 905
The HCF of 147,905 is 1.
Lets's calculate GCF of 147,905
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 147
:1,3,7,21,49,147
Now, list down the factors of 905
:1,5,181,905
Greatest Common Factor
We found the factors 147,905 . The biggest common factor number is the GCF number.
So the greatest common factor 147,905 is 1.
Lets's calculate LCM of 540,771
3 | 540, 771 |
180, 257 |
∴ So the LCM of the given numbers is 3 x 180 x 257 = 138780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138780
Therefore, the GCF of Fractions 147/540,905/771 is 1/138780
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 540,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,771) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(540,771) x common factors =3 x 1 = 3
LCM(540,771) = ( 540 × 771 ) / 3
LCM(540,771) = 416340 / 3
LCM(540,771) = 138780
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 147,905?
The HCF of 147,905 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 147/540, 905/771?
Answer: GCF of Numerators as per given numbers 147/540, 905/771 is
GCF of Numerators i.e. for 147,905 is 1
LCM of denominators i.e. for 540,771 is 138780.
Thus, GCF of Fractions is 1/138780.Finally, GCF of Fractions for 147/540, 905/771 is 1/138780.