Use our free GCF of Fractions Calculator tool to compute the GCF of 49/864, 96/328, 901/456 i.e 1/673056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/864, 96/328, 901/456.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/864,96/328,901/456
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 49/864,96/328,901/456, numerators are 49,96,901
Denominators are 864,328,456
The GCF of 49,96,901 is 1 .
LCM of 864,328,456 is 673056.
The greatest common factor of 49/864,96/328,901/456 = [GCF of 49,96,901]/[LCM of 864,328,456]= 1/673056
Therefore, the GCF of 49/864,96/328,901/456 is 1/673056.
To find the highest common factor of 49,96,901, we have to find the factors of both numbers and list the highest common factor.
The factors of 49 are 1, 7, 49
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 901 are 1, 17, 53, 901
The HCF of 49,96,901 is 1.
Lets's calculate GCF of 49,96,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 901
:1,17,53,901
Greatest Common Factor
We found the factors 49,96,901 . The biggest common factor number is the GCF number.
So the greatest common factor 49,96,901 is 1.
Lets's calculate LCM of 864,328,456
2 | 864, 328, 456 |
2 | 432, 164, 228 |
2 | 216, 82, 114 |
3 | 108, 41, 57 |
36, 41, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 36 x 41 x 19 = 673056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/673056
Therefore, the GCF of Fractions 49/864,96/328,901/456 is 1/673056
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 864,328,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,328,456) = 8
common factors(in case of two or more numbers have common factors) = 24
GCF(864,328,456) x common factors =8 x 24 = 192
LCM(864,328,456) = ( 864 × 328 × 456 ) / 192
LCM(864,328,456) = 129226752 / 192
LCM(864,328,456) = 673056
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 49,96,901?
The HCF of 49,96,901 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 49/864, 96/328, 901/456?
Answer: GCF of Numerators as per given numbers 49/864, 96/328, 901/456 is
GCF of Numerators i.e. for 49,96,901 is 1
LCM of denominators i.e. for 864,328,456 is 673056.
Thus, GCF of Fractions is 1/673056.Finally, GCF of Fractions for 49/864, 96/328, 901/456 is 1/673056.