GCF of 4488/378, 7284/2245
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4488/378, 7284/2245 i.e 12/848610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4488/378, 7284/2245.
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 4488/378,7284/2245?
Given fractions are 4488/378,7284/2245
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 4488/378,7284/2245, numerators are 4488,7284
Denominators are 378,2245
The GCF of 4488,7284 is 12 .
LCM of 378,2245 is 848610.
The greatest common factor of 4488/378,7284/2245 = [GCF of 4488,7284]/[LCM of 378,2245]= 12/848610
Therefore, the GCF of 4488/378,7284/2245 is 12/848610.
To find the highest common factor of 4488,7284, we have to find the factors of both numbers and list the highest common factor.
The factors of 4488 are 1, 2, 3, 4, 6, 8, 11, 12, 17, 22, 24, 33, 34, 44, 51, 66, 68, 88, 102, 132, 136, 187, 204, 264, 374, 408, 561, 748, 1122, 1496, 2244, 4488
The factors of 7284 are 1, 2, 3, 4, 6, 12, 607, 1214, 1821, 2428, 3642, 7284
The HCF of 4488,7284 is 12.
Lets's calculate GCF of 4488,7284
| 2 | 4488, 7284 |
| 2 | 2244, 3642 |
| 3 | 1122, 1821 |
| 374, 607 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4488,7284 By Matching Biggest Common Factor Method
Now, list down the factors of 4488
:1,2,3,4,6,8,11,12,17,22,24,33,34,44,51,66,68,88,102,132,136,187,204,264,374,408,561,748,1122,1496,2244,4488
Now, list down the factors of 7284
:1,2,3,4,6,12,607,1214,1821,2428,3642,7284
Greatest Common Factor
We found the factors 4488,7284 . The biggest common factor number is the GCF number.
So the greatest common factor 4488,7284 is 12.
Lets's calculate LCM of 378,2245
Given numbers has no common factors except 1. So, there LCM is their product i.e 848610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/848610
Therefore, the GCF of Fractions 4488/378,7284/2245 is 12/848610
Least Common Multiple of 378,2245 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 378,2245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,2245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(378,2245) x common factors =1 x 1 = 1
LCM(378,2245) = ( 378 × 2245 ) / 1
LCM(378,2245) = 848610 / 1
LCM(378,2245) = 848610
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FAQs on GCF of Fractions of 4488/378, 7284/2245
1. What is the HCF of 4488,7284?
The HCF of 4488,7284 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 4488/378, 7284/2245?
Answer: GCF of Numerators as per given numbers 4488/378, 7284/2245 is
GCF of Numerators i.e. for 4488,7284 is 12
LCM of denominators i.e. for 378,2245 is 848610.
Thus, GCF of Fractions is 12/848610.Finally, GCF of Fractions for 4488/378, 7284/2245 is 12/848610.