GCF of 1281/648, 3798/4688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1281/648, 3798/4688 i.e 3/379728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1281/648, 3798/4688.
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 1281/648,3798/4688?
Given fractions are 1281/648,3798/4688
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 1281/648,3798/4688, numerators are 1281,3798
Denominators are 648,4688
The GCF of 1281,3798 is 3 .
LCM of 648,4688 is 379728.
The greatest common factor of 1281/648,3798/4688 = [GCF of 1281,3798]/[LCM of 648,4688]= 3/379728
Therefore, the GCF of 1281/648,3798/4688 is 3/379728.
To find the highest common factor of 1281,3798, we have to find the factors of both numbers and list the highest common factor.
The factors of 1281 are 1, 3, 7, 21, 61, 183, 427, 1281
The factors of 3798 are 1, 2, 3, 6, 9, 18, 211, 422, 633, 1266, 1899, 3798
The HCF of 1281,3798 is 3.
Lets's calculate GCF of 1281,3798
| 3 | 1281, 3798 |
| 427, 1266 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1281,3798 By Matching Biggest Common Factor Method
Now, list down the factors of 1281
:1,3,7,21,61,183,427,1281
Now, list down the factors of 3798
:1,2,3,6,9,18,211,422,633,1266,1899,3798
Greatest Common Factor
We found the factors 1281,3798 . The biggest common factor number is the GCF number.
So the greatest common factor 1281,3798 is 3.
Lets's calculate LCM of 648,4688
| 2 | 648, 4688 |
| 2 | 324, 2344 |
| 2 | 162, 1172 |
| 81, 586 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 81 x 586 = 379728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/379728
Therefore, the GCF of Fractions 1281/648,3798/4688 is 3/379728
Least Common Multiple of 648,4688 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 648,4688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,4688) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(648,4688) x common factors =8 x 1 = 8
LCM(648,4688) = ( 648 × 4688 ) / 8
LCM(648,4688) = 3037824 / 8
LCM(648,4688) = 379728
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FAQs on GCF of Fractions of 1281/648, 3798/4688
1. What is the HCF of 1281,3798?
The HCF of 1281,3798 is 3
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 1281/648, 3798/4688?
Answer: GCF of Numerators as per given numbers 1281/648, 3798/4688 is
GCF of Numerators i.e. for 1281,3798 is 3
LCM of denominators i.e. for 648,4688 is 379728.
Thus, GCF of Fractions is 3/379728.Finally, GCF of Fractions for 1281/648, 3798/4688 is 3/379728.