Use our free GCF of Fractions Calculator tool to compute the GCF of 646/936, 1082/288 i.e 2/3744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 646/936, 1082/288.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 646/936,1082/288
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 646/936,1082/288, numerators are 646,1082
Denominators are 936,288
The GCF of 646,1082 is 2 .
LCM of 936,288 is 3744.
The greatest common factor of 646/936,1082/288 = [GCF of 646,1082]/[LCM of 936,288]= 2/3744
Therefore, the GCF of 646/936,1082/288 is 2/3744.
To find the highest common factor of 646,1082, we have to find the factors of both numbers and list the highest common factor.
The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646
The factors of 1082 are 1, 2, 541, 1082
The HCF of 646,1082 is 2.
Lets's calculate GCF of 646,1082
2 | 646, 1082 |
323, 541 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 646
:1,2,17,19,34,38,323,646
Now, list down the factors of 1082
:1,2,541,1082
Greatest Common Factor
We found the factors 646,1082 . The biggest common factor number is the GCF number.
So the greatest common factor 646,1082 is 2.
Lets's calculate LCM of 936,288
2 | 936, 288 |
2 | 468, 144 |
2 | 234, 72 |
3 | 117, 36 |
3 | 39, 12 |
13, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 13 x 4 = 3744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3744
Therefore, the GCF of Fractions 646/936,1082/288 is 2/3744
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 936,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(936,288) = 72
common factors(in case of two or more numbers have common factors) = 1
GCF(936,288) x common factors =72 x 1 = 72
LCM(936,288) = ( 936 × 288 ) / 72
LCM(936,288) = 269568 / 72
LCM(936,288) = 3744
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 646,1082?
The HCF of 646,1082 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 646/936, 1082/288?
Answer: GCF of Numerators as per given numbers 646/936, 1082/288 is
GCF of Numerators i.e. for 646,1082 is 2
LCM of denominators i.e. for 936,288 is 3744.
Thus, GCF of Fractions is 2/3744.Finally, GCF of Fractions for 646/936, 1082/288 is 2/3744.