Use our free GCF of Fractions Calculator tool to compute the GCF of 544/649, 195/836 i.e 1/49324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 544/649, 195/836.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 544/649,195/836
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 544/649,195/836, numerators are 544,195
Denominators are 649,836
The GCF of 544,195 is 1 .
LCM of 649,836 is 49324.
The greatest common factor of 544/649,195/836 = [GCF of 544,195]/[LCM of 649,836]= 1/49324
Therefore, the GCF of 544/649,195/836 is 1/49324.
To find the highest common factor of 544,195, we have to find the factors of both numbers and list the highest common factor.
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195
The HCF of 544,195 is 1.
Lets's calculate GCF of 544,195
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 544
:1,2,4,8,16,17,32,34,68,136,272,544
Now, list down the factors of 195
:1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 544,195 . The biggest common factor number is the GCF number.
So the greatest common factor 544,195 is 1.
Lets's calculate LCM of 649,836
11 | 649, 836 |
59, 76 |
∴ So the LCM of the given numbers is 11 x 59 x 76 = 49324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49324
Therefore, the GCF of Fractions 544/649,195/836 is 1/49324
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 649,836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,836) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(649,836) x common factors =11 x 1 = 11
LCM(649,836) = ( 649 × 836 ) / 11
LCM(649,836) = 542564 / 11
LCM(649,836) = 49324
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 544,195?
The HCF of 544,195 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 544/649, 195/836?
Answer: GCF of Numerators as per given numbers 544/649, 195/836 is
GCF of Numerators i.e. for 544,195 is 1
LCM of denominators i.e. for 649,836 is 49324.
Thus, GCF of Fractions is 1/49324.Finally, GCF of Fractions for 544/649, 195/836 is 1/49324.