Use our free GCF of Fractions Calculator tool to compute the GCF of 147/540, 833/411 i.e 49/73980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 147/540, 833/411.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 147/540,833/411
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 147/540,833/411, numerators are 147,833
Denominators are 540,411
The GCF of 147,833 is 49 .
LCM of 540,411 is 73980.
The greatest common factor of 147/540,833/411 = [GCF of 147,833]/[LCM of 540,411]= 49/73980
Therefore, the GCF of 147/540,833/411 is 49/73980.
To find the highest common factor of 147,833, 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 833 are 1, 7, 17, 49, 119, 833
The HCF of 147,833 is 49.
Lets's calculate GCF of 147,833
7 | 147, 833 |
7 | 21, 119 |
3, 17 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Now, list down the factors of 147
:1,3,7,21,49,147
Now, list down the factors of 833
:1,7,17,49,119,833
Greatest Common Factor
We found the factors 147,833 . The biggest common factor number is the GCF number.
So the greatest common factor 147,833 is 49.
Lets's calculate LCM of 540,411
3 | 540, 411 |
180, 137 |
∴ So the LCM of the given numbers is 3 x 180 x 137 = 73980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/73980
Therefore, the GCF of Fractions 147/540,833/411 is 49/73980
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 540,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,411) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(540,411) x common factors =3 x 1 = 3
LCM(540,411) = ( 540 × 411 ) / 3
LCM(540,411) = 221940 / 3
LCM(540,411) = 73980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 147,833?
The HCF of 147,833 is 49
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, 833/411?
Answer: GCF of Numerators as per given numbers 147/540, 833/411 is
GCF of Numerators i.e. for 147,833 is 49
LCM of denominators i.e. for 540,411 is 73980.
Thus, GCF of Fractions is 49/73980.Finally, GCF of Fractions for 147/540, 833/411 is 49/73980.