Use our free GCF of Fractions Calculator tool to compute the GCF of 195/276, 799/844 i.e 1/58236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 195/276, 799/844.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 195/276,799/844
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 195/276,799/844, numerators are 195,799
Denominators are 276,844
The GCF of 195,799 is 1 .
LCM of 276,844 is 58236.
The greatest common factor of 195/276,799/844 = [GCF of 195,799]/[LCM of 276,844]= 1/58236
Therefore, the GCF of 195/276,799/844 is 1/58236.
To find the highest common factor of 195,799, we have to find the factors of both numbers and list the highest common factor.
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195
The factors of 799 are 1, 17, 47, 799
The HCF of 195,799 is 1.
Lets's calculate GCF of 195,799
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 195
:1,3,5,13,15,39,65,195
Now, list down the factors of 799
:1,17,47,799
Greatest Common Factor
We found the factors 195,799 . The biggest common factor number is the GCF number.
So the greatest common factor 195,799 is 1.
Lets's calculate LCM of 276,844
2 | 276, 844 |
2 | 138, 422 |
69, 211 |
∴ So the LCM of the given numbers is 2 x 2 x 69 x 211 = 58236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58236
Therefore, the GCF of Fractions 195/276,799/844 is 1/58236
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 276,844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,844) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(276,844) x common factors =4 x 1 = 4
LCM(276,844) = ( 276 × 844 ) / 4
LCM(276,844) = 232944 / 4
LCM(276,844) = 58236
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 195,799?
The HCF of 195,799 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 195/276, 799/844?
Answer: GCF of Numerators as per given numbers 195/276, 799/844 is
GCF of Numerators i.e. for 195,799 is 1
LCM of denominators i.e. for 276,844 is 58236.
Thus, GCF of Fractions is 1/58236.Finally, GCF of Fractions for 195/276, 799/844 is 1/58236.