Use our free GCF of Fractions Calculator tool to compute the GCF of 839/810, 994/974 i.e 1/394470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 839/810, 994/974.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 839/810,994/974
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 839/810,994/974, numerators are 839,994
Denominators are 810,974
The GCF of 839,994 is 1 .
LCM of 810,974 is 394470.
The greatest common factor of 839/810,994/974 = [GCF of 839,994]/[LCM of 810,974]= 1/394470
Therefore, the GCF of 839/810,994/974 is 1/394470.
To find the highest common factor of 839,994, we have to find the factors of both numbers and list the highest common factor.
The factors of 839 are 1, 839
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The HCF of 839,994 is 1.
Lets's calculate GCF of 839,994
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 839
:1,839
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 839,994 . The biggest common factor number is the GCF number.
So the greatest common factor 839,994 is 1.
Lets's calculate LCM of 810,974
2 | 810, 974 |
405, 487 |
∴ So the LCM of the given numbers is 2 x 405 x 487 = 394470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/394470
Therefore, the GCF of Fractions 839/810,994/974 is 1/394470
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 810,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,974) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(810,974) x common factors =2 x 1 = 2
LCM(810,974) = ( 810 × 974 ) / 2
LCM(810,974) = 788940 / 2
LCM(810,974) = 394470
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 839,994?
The HCF of 839,994 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 839/810, 994/974?
Answer: GCF of Numerators as per given numbers 839/810, 994/974 is
GCF of Numerators i.e. for 839,994 is 1
LCM of denominators i.e. for 810,974 is 394470.
Thus, GCF of Fractions is 1/394470.Finally, GCF of Fractions for 839/810, 994/974 is 1/394470.