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GCF of 7788/315, 9900/7556

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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

GCF of:

What is the GCF of 7788/315,9900/7556?

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.

Greatest Common Factor of 7788,9900

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

Greatest Common Factor (GCF) of 7788,9900 By Common Division

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

Greatest Common Factor of 7788,9900 By Matching Biggest Common Factor Method

Greatest Common Factor of 7788,9900 By Matching Biggest Common Factor Method

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

Lowest Common Multiple of 315,7556 using Common Division

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

Least Common Multiple of 315,7556 with GCF Formula

Least Common Multiple of 315,7556 with GCF Formula

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


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 7788/315, 9900/7556

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.