Use our free GCF of Fractions Calculator tool to compute the GCF of 7788/315, 9900/7556 i.e 132/2380140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7788/315, 9900/7556.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7788/315,9900/7556
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 7788/315,9900/7556, numerators are 7788,9900
Denominators are 315,7556
The GCF of 7788,9900 is 132 .
LCM of 315,7556 is 2380140.
The greatest common factor of 7788/315,9900/7556 = [GCF of 7788,9900]/[LCM of 315,7556]= 132/2380140
Therefore, the GCF of 7788/315,9900/7556 is 132/2380140.
To find the highest common factor of 7788,9900, we have to find the factors of both numbers and list the highest common factor.
The factors of 7788 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 59, 66, 118, 132, 177, 236, 354, 649, 708, 1298, 1947, 2596, 3894, 7788
The factors of 9900 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900
The HCF of 7788,9900 is 132.
Lets's calculate GCF of 7788,9900
2 | 7788, 9900 |
2 | 3894, 4950 |
3 | 1947, 2475 |
11 | 649, 825 |
59, 75 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132
Now, list down the factors of 7788
:1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788
Now, list down the factors of 9900
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900
Greatest Common Factor
We found the factors 7788,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 7788,9900 is 132.
Lets's calculate LCM of 315,7556
Given numbers has no common factors except 1. So, there LCM is their product i.e 2380140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 132/2380140
Therefore, the GCF of Fractions 7788/315,9900/7556 is 132/2380140
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 315,7556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,7556) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,7556) x common factors =1 x 1 = 1
LCM(315,7556) = ( 315 × 7556 ) / 1
LCM(315,7556) = 2380140 / 1
LCM(315,7556) = 2380140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7788,9900?
The HCF of 7788,9900 is 132
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 7788/315, 9900/7556?
Answer: GCF of Numerators as per given numbers 7788/315, 9900/7556 is
GCF of Numerators i.e. for 7788,9900 is 132
LCM of denominators i.e. for 315,7556 is 2380140.
Thus, GCF of Fractions is 132/2380140.Finally, GCF of Fractions for 7788/315, 9900/7556 is 132/2380140.