GCF of 4461/283, 7704/1386
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4461/283, 7704/1386 i.e 3/392238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4461/283, 7704/1386.
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 4461/283,7704/1386?
Given fractions are 4461/283,7704/1386
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 4461/283,7704/1386, numerators are 4461,7704
Denominators are 283,1386
The GCF of 4461,7704 is 3 .
LCM of 283,1386 is 392238.
The greatest common factor of 4461/283,7704/1386 = [GCF of 4461,7704]/[LCM of 283,1386]= 3/392238
Therefore, the GCF of 4461/283,7704/1386 is 3/392238.
To find the highest common factor of 4461,7704, we have to find the factors of both numbers and list the highest common factor.
The factors of 4461 are 1, 3, 1487, 4461
The factors of 7704 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 107, 214, 321, 428, 642, 856, 963, 1284, 1926, 2568, 3852, 7704
The HCF of 4461,7704 is 3.
Lets's calculate GCF of 4461,7704
| 3 | 4461, 7704 |
| 1487, 2568 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4461,7704 By Matching Biggest Common Factor Method
Now, list down the factors of 4461
:1,3,1487,4461
Now, list down the factors of 7704
:1,2,3,4,6,8,9,12,18,24,36,72,107,214,321,428,642,856,963,1284,1926,2568,3852,7704
Greatest Common Factor
We found the factors 4461,7704 . The biggest common factor number is the GCF number.
So the greatest common factor 4461,7704 is 3.
Lets's calculate LCM of 283,1386
Given numbers has no common factors except 1. So, there LCM is their product i.e 392238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/392238
Therefore, the GCF of Fractions 4461/283,7704/1386 is 3/392238
Least Common Multiple of 283,1386 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 283,1386 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,1386) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,1386) x common factors =1 x 1 = 1
LCM(283,1386) = ( 283 × 1386 ) / 1
LCM(283,1386) = 392238 / 1
LCM(283,1386) = 392238
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FAQs on GCF of Fractions of 4461/283, 7704/1386
1. What is the HCF of 4461,7704?
The HCF of 4461,7704 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 4461/283, 7704/1386?
Answer: GCF of Numerators as per given numbers 4461/283, 7704/1386 is
GCF of Numerators i.e. for 4461,7704 is 3
LCM of denominators i.e. for 283,1386 is 392238.
Thus, GCF of Fractions is 3/392238.Finally, GCF of Fractions for 4461/283, 7704/1386 is 3/392238.