Use our free GCF of Fractions Calculator tool to compute the GCF of 76/240, 82/573, 302/436 i.e 2/4996560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 76/240, 82/573, 302/436.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/240,82/573,302/436
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 76/240,82/573,302/436, numerators are 76,82,302
Denominators are 240,573,436
The GCF of 76,82,302 is 2 .
LCM of 240,573,436 is 4996560.
The greatest common factor of 76/240,82/573,302/436 = [GCF of 76,82,302]/[LCM of 240,573,436]= 2/4996560
Therefore, the GCF of 76/240,82/573,302/436 is 2/4996560.
To find the highest common factor of 76,82,302, we have to find the factors of both numbers and list the highest common factor.
The factors of 76 are 1, 2, 4, 19, 38, 76
The factors of 82 are 1, 2, 41, 82
The factors of 302 are 1, 2, 151, 302
The HCF of 76,82,302 is 2.
Lets's calculate GCF of 76,82,302
2 | 76, 82, 302 |
38, 41, 151 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 76
:1,2,4,19,38,76
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 302
:1,2,151,302
Greatest Common Factor
We found the factors 76,82,302 . The biggest common factor number is the GCF number.
So the greatest common factor 76,82,302 is 2.
Lets's calculate LCM of 240,573,436
2 | 240, 573, 436 |
2 | 120, 573, 218 |
3 | 60, 573, 109 |
20, 191, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 191 x 109 = 4996560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4996560
Therefore, the GCF of Fractions 76/240,82/573,302/436 is 2/4996560
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 240,573,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,573,436) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(240,573,436) x common factors =1 x 12 = 12
LCM(240,573,436) = ( 240 × 573 × 436 ) / 12
LCM(240,573,436) = 59958720 / 12
LCM(240,573,436) = 4996560
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 76,82,302?
The HCF of 76,82,302 is 2
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 76/240, 82/573, 302/436?
Answer: GCF of Numerators as per given numbers 76/240, 82/573, 302/436 is
GCF of Numerators i.e. for 76,82,302 is 2
LCM of denominators i.e. for 240,573,436 is 4996560.
Thus, GCF of Fractions is 2/4996560.Finally, GCF of Fractions for 76/240, 82/573, 302/436 is 2/4996560.