GCF of 6638/799, 9792/4077
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6638/799, 9792/4077 i.e 2/3257523 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6638/799, 9792/4077.
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 6638/799,9792/4077?
Given fractions are 6638/799,9792/4077
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 6638/799,9792/4077, numerators are 6638,9792
Denominators are 799,4077
The GCF of 6638,9792 is 2 .
LCM of 799,4077 is 3257523.
The greatest common factor of 6638/799,9792/4077 = [GCF of 6638,9792]/[LCM of 799,4077]= 2/3257523
Therefore, the GCF of 6638/799,9792/4077 is 2/3257523.
To find the highest common factor of 6638,9792, we have to find the factors of both numbers and list the highest common factor.
The factors of 6638 are 1, 2, 3319, 6638
The factors of 9792 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 64, 68, 72, 96, 102, 136, 144, 153, 192, 204, 272, 288, 306, 408, 544, 576, 612, 816, 1088, 1224, 1632, 2448, 3264, 4896, 9792
The HCF of 6638,9792 is 2.
Lets's calculate GCF of 6638,9792
| 2 | 6638, 9792 |
| 3319, 4896 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6638,9792 By Matching Biggest Common Factor Method
Now, list down the factors of 6638
:1,2,3319,6638
Now, list down the factors of 9792
:1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792
Greatest Common Factor
We found the factors 6638,9792 . The biggest common factor number is the GCF number.
So the greatest common factor 6638,9792 is 2.
Lets's calculate LCM of 799,4077
Given numbers has no common factors except 1. So, there LCM is their product i.e 3257523
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3257523
Therefore, the GCF of Fractions 6638/799,9792/4077 is 2/3257523
Least Common Multiple of 799,4077 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 799,4077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,4077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,4077) x common factors =1 x 1 = 1
LCM(799,4077) = ( 799 × 4077 ) / 1
LCM(799,4077) = 3257523 / 1
LCM(799,4077) = 3257523
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FAQs on GCF of Fractions of 6638/799, 9792/4077
1. What is the HCF of 6638,9792?
The HCF of 6638,9792 is 2
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 6638/799, 9792/4077?
Answer: GCF of Numerators as per given numbers 6638/799, 9792/4077 is
GCF of Numerators i.e. for 6638,9792 is 2
LCM of denominators i.e. for 799,4077 is 3257523.
Thus, GCF of Fractions is 2/3257523.Finally, GCF of Fractions for 6638/799, 9792/4077 is 2/3257523.