Use our free GCF of Fractions Calculator tool to compute the GCF of 944/884, 702/868 i.e 2/191828 easily. The following is the detailed procedure to determine the greatest common factor of fractions 944/884, 702/868.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 944/884,702/868
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 944/884,702/868, numerators are 944,702
Denominators are 884,868
The GCF of 944,702 is 2 .
LCM of 884,868 is 191828.
The greatest common factor of 944/884,702/868 = [GCF of 944,702]/[LCM of 884,868]= 2/191828
Therefore, the GCF of 944/884,702/868 is 2/191828.
To find the highest common factor of 944,702, we have to find the factors of both numbers and list the highest common factor.
The factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
The factors of 702 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
The HCF of 944,702 is 2.
Lets's calculate GCF of 944,702
2 | 944, 702 |
472, 351 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 944
:1,2,4,8,16,59,118,236,472,944
Now, list down the factors of 702
:1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Greatest Common Factor
We found the factors 944,702 . The biggest common factor number is the GCF number.
So the greatest common factor 944,702 is 2.
Lets's calculate LCM of 884,868
2 | 884, 868 |
2 | 442, 434 |
221, 217 |
∴ So the LCM of the given numbers is 2 x 2 x 221 x 217 = 191828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/191828
Therefore, the GCF of Fractions 944/884,702/868 is 2/191828
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 884,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(884,868) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(884,868) x common factors =4 x 1 = 4
LCM(884,868) = ( 884 × 868 ) / 4
LCM(884,868) = 767312 / 4
LCM(884,868) = 191828
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 944,702?
The HCF of 944,702 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 944/884, 702/868?
Answer: GCF of Numerators as per given numbers 944/884, 702/868 is
GCF of Numerators i.e. for 944,702 is 2
LCM of denominators i.e. for 884,868 is 191828.
Thus, GCF of Fractions is 2/191828.Finally, GCF of Fractions for 944/884, 702/868 is 2/191828.