Use our free GCF of Fractions Calculator tool to compute the GCF of 94/896, 72/544 i.e 2/15232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/896, 72/544.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/896,72/544
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 94/896,72/544, numerators are 94,72
Denominators are 896,544
The GCF of 94,72 is 2 .
LCM of 896,544 is 15232.
The greatest common factor of 94/896,72/544 = [GCF of 94,72]/[LCM of 896,544]= 2/15232
Therefore, the GCF of 94/896,72/544 is 2/15232.
To find the highest common factor of 94,72, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The HCF of 94,72 is 2.
Lets's calculate GCF of 94,72
2 | 94, 72 |
47, 36 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Greatest Common Factor
We found the factors 94,72 . The biggest common factor number is the GCF number.
So the greatest common factor 94,72 is 2.
Lets's calculate LCM of 896,544
2 | 896, 544 |
2 | 448, 272 |
2 | 224, 136 |
2 | 112, 68 |
2 | 56, 34 |
28, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 28 x 17 = 15232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15232
Therefore, the GCF of Fractions 94/896,72/544 is 2/15232
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 896,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,544) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(896,544) x common factors =32 x 1 = 32
LCM(896,544) = ( 896 × 544 ) / 32
LCM(896,544) = 487424 / 32
LCM(896,544) = 15232
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 94,72?
The HCF of 94,72 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 94/896, 72/544?
Answer: GCF of Numerators as per given numbers 94/896, 72/544 is
GCF of Numerators i.e. for 94,72 is 2
LCM of denominators i.e. for 896,544 is 15232.
Thus, GCF of Fractions is 2/15232.Finally, GCF of Fractions for 94/896, 72/544 is 2/15232.