Use our free GCF of Fractions Calculator tool to compute the GCF of 894/898, 804/478 i.e 6/214622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 894/898, 804/478.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 894/898,804/478
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 894/898,804/478, numerators are 894,804
Denominators are 898,478
The GCF of 894,804 is 6 .
LCM of 898,478 is 214622.
The greatest common factor of 894/898,804/478 = [GCF of 894,804]/[LCM of 898,478]= 6/214622
Therefore, the GCF of 894/898,804/478 is 6/214622.
To find the highest common factor of 894,804, we have to find the factors of both numbers and list the highest common factor.
The factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894
The factors of 804 are 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
The HCF of 894,804 is 6.
Lets's calculate GCF of 894,804
2 | 894, 804 |
3 | 447, 402 |
149, 134 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Now, list down the factors of 894
:1,2,3,6,149,298,447,894
Now, list down the factors of 804
:1,2,3,4,6,12,67,134,201,268,402,804
Greatest Common Factor
We found the factors 894,804 . The biggest common factor number is the GCF number.
So the greatest common factor 894,804 is 6.
Lets's calculate LCM of 898,478
2 | 898, 478 |
449, 239 |
∴ So the LCM of the given numbers is 2 x 449 x 239 = 214622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/214622
Therefore, the GCF of Fractions 894/898,804/478 is 6/214622
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 898,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,478) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(898,478) x common factors =2 x 1 = 2
LCM(898,478) = ( 898 × 478 ) / 2
LCM(898,478) = 429244 / 2
LCM(898,478) = 214622
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 894,804?
The HCF of 894,804 is 6
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 894/898, 804/478?
Answer: GCF of Numerators as per given numbers 894/898, 804/478 is
GCF of Numerators i.e. for 894,804 is 6
LCM of denominators i.e. for 898,478 is 214622.
Thus, GCF of Fractions is 6/214622.Finally, GCF of Fractions for 894/898, 804/478 is 6/214622.