GCF of 2748/585, 7308/8076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2748/585, 7308/8076 i.e 12/1574820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2748/585, 7308/8076.
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 2748/585,7308/8076?
Given fractions are 2748/585,7308/8076
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 2748/585,7308/8076, numerators are 2748,7308
Denominators are 585,8076
The GCF of 2748,7308 is 12 .
LCM of 585,8076 is 1574820.
The greatest common factor of 2748/585,7308/8076 = [GCF of 2748,7308]/[LCM of 585,8076]= 12/1574820
Therefore, the GCF of 2748/585,7308/8076 is 12/1574820.
To find the highest common factor of 2748,7308, we have to find the factors of both numbers and list the highest common factor.
The factors of 2748 are 1, 2, 3, 4, 6, 12, 229, 458, 687, 916, 1374, 2748
The factors of 7308 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654, 7308
The HCF of 2748,7308 is 12.
Lets's calculate GCF of 2748,7308
| 2 | 2748, 7308 |
| 2 | 1374, 3654 |
| 3 | 687, 1827 |
| 229, 609 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 2748,7308 By Matching Biggest Common Factor Method
Now, list down the factors of 2748
:1,2,3,4,6,12,229,458,687,916,1374,2748
Now, list down the factors of 7308
:1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308
Greatest Common Factor
We found the factors 2748,7308 . The biggest common factor number is the GCF number.
So the greatest common factor 2748,7308 is 12.
Lets's calculate LCM of 585,8076
| 3 | 585, 8076 |
| 195, 2692 |
∴ So the LCM of the given numbers is 3 x 195 x 2692 = 1574820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1574820
Therefore, the GCF of Fractions 2748/585,7308/8076 is 12/1574820
Least Common Multiple of 585,8076 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 585,8076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,8076) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(585,8076) x common factors =3 x 1 = 3
LCM(585,8076) = ( 585 × 8076 ) / 3
LCM(585,8076) = 4724460 / 3
LCM(585,8076) = 1574820
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FAQs on GCF of Fractions of 2748/585, 7308/8076
1. What is the HCF of 2748,7308?
The HCF of 2748,7308 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 2748/585, 7308/8076?
Answer: GCF of Numerators as per given numbers 2748/585, 7308/8076 is
GCF of Numerators i.e. for 2748,7308 is 12
LCM of denominators i.e. for 585,8076 is 1574820.
Thus, GCF of Fractions is 12/1574820.Finally, GCF of Fractions for 2748/585, 7308/8076 is 12/1574820.