GCF of 3288/828, 7116/9741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3288/828, 7116/9741 i.e 12/2688516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3288/828, 7116/9741.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3288/828,7116/9741?
Given fractions are 3288/828,7116/9741
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 3288/828,7116/9741, numerators are 3288,7116
Denominators are 828,9741
The GCF of 3288,7116 is 12 .
LCM of 828,9741 is 2688516.
The greatest common factor of 3288/828,7116/9741 = [GCF of 3288,7116]/[LCM of 828,9741]= 12/2688516
Therefore, the GCF of 3288/828,7116/9741 is 12/2688516.
To find the highest common factor of 3288,7116, we have to find the factors of both numbers and list the highest common factor.
The factors of 3288 are 1, 2, 3, 4, 6, 8, 12, 24, 137, 274, 411, 548, 822, 1096, 1644, 3288
The factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116
The HCF of 3288,7116 is 12.
Lets's calculate GCF of 3288,7116
| 2 | 3288, 7116 |
| 2 | 1644, 3558 |
| 3 | 822, 1779 |
| 274, 593 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3288,7116 By Matching Biggest Common Factor Method
Now, list down the factors of 3288
:1,2,3,4,6,8,12,24,137,274,411,548,822,1096,1644,3288
Now, list down the factors of 7116
:1,2,3,4,6,12,593,1186,1779,2372,3558,7116
Greatest Common Factor
We found the factors 3288,7116 . The biggest common factor number is the GCF number.
So the greatest common factor 3288,7116 is 12.
Lets's calculate LCM of 828,9741
| 3 | 828, 9741 |
| 276, 3247 |
∴ So the LCM of the given numbers is 3 x 276 x 3247 = 2688516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2688516
Therefore, the GCF of Fractions 3288/828,7116/9741 is 12/2688516
Least Common Multiple of 828,9741 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 828,9741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,9741) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(828,9741) x common factors =3 x 1 = 3
LCM(828,9741) = ( 828 × 9741 ) / 3
LCM(828,9741) = 8065548 / 3
LCM(828,9741) = 2688516
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FAQs on GCF of Fractions of 3288/828, 7116/9741
1. What is the HCF of 3288,7116?
The HCF of 3288,7116 is 12
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 3288/828, 7116/9741?
Answer: GCF of Numerators as per given numbers 3288/828, 7116/9741 is
GCF of Numerators i.e. for 3288,7116 is 12
LCM of denominators i.e. for 828,9741 is 2688516.
Thus, GCF of Fractions is 12/2688516.Finally, GCF of Fractions for 3288/828, 7116/9741 is 12/2688516.