Use our free GCF of Fractions Calculator tool to compute the GCF of 46/756, 96/947, 990/892 i.e 2/159652836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 46/756, 96/947, 990/892.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 46/756,96/947,990/892
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 46/756,96/947,990/892, numerators are 46,96,990
Denominators are 756,947,892
The GCF of 46,96,990 is 2 .
LCM of 756,947,892 is 159652836.
The greatest common factor of 46/756,96/947,990/892 = [GCF of 46,96,990]/[LCM of 756,947,892]= 2/159652836
Therefore, the GCF of 46/756,96/947,990/892 is 2/159652836.
To find the highest common factor of 46,96,990, we have to find the factors of both numbers and list the highest common factor.
The factors of 46 are 1, 2, 23, 46
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
The HCF of 46,96,990 is 2.
Lets's calculate GCF of 46,96,990
2 | 46, 96, 990 |
23, 48, 495 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 46
:1,2,23,46
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 990
:1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 46,96,990 . The biggest common factor number is the GCF number.
So the greatest common factor 46,96,990 is 2.
Lets's calculate LCM of 756,947,892
2 | 756, 947, 892 |
2 | 378, 947, 446 |
189, 947, 223 |
∴ So the LCM of the given numbers is 2 x 2 x 189 x 947 x 223 = 159652836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/159652836
Therefore, the GCF of Fractions 46/756,96/947,990/892 is 2/159652836
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 756,947,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,947,892) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(756,947,892) x common factors =1 x 4 = 4
LCM(756,947,892) = ( 756 × 947 × 892 ) / 4
LCM(756,947,892) = 638611344 / 4
LCM(756,947,892) = 159652836
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 46,96,990?
The HCF of 46,96,990 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 46/756, 96/947, 990/892?
Answer: GCF of Numerators as per given numbers 46/756, 96/947, 990/892 is
GCF of Numerators i.e. for 46,96,990 is 2
LCM of denominators i.e. for 756,947,892 is 159652836.
Thus, GCF of Fractions is 2/159652836.Finally, GCF of Fractions for 46/756, 96/947, 990/892 is 2/159652836.