GCF of 7728/419, 2807/9745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7728/419, 2807/9745 i.e 7/4083155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7728/419, 2807/9745.
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 7728/419,2807/9745?
Given fractions are 7728/419,2807/9745
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 7728/419,2807/9745, numerators are 7728,2807
Denominators are 419,9745
The GCF of 7728,2807 is 7 .
LCM of 419,9745 is 4083155.
The greatest common factor of 7728/419,2807/9745 = [GCF of 7728,2807]/[LCM of 419,9745]= 7/4083155
Therefore, the GCF of 7728/419,2807/9745 is 7/4083155.
To find the highest common factor of 7728,2807, we have to find the factors of both numbers and list the highest common factor.
The factors of 7728 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 42, 46, 48, 56, 69, 84, 92, 112, 138, 161, 168, 184, 276, 322, 336, 368, 483, 552, 644, 966, 1104, 1288, 1932, 2576, 3864, 7728
The factors of 2807 are 1, 7, 401, 2807
The HCF of 7728,2807 is 7.
Lets's calculate GCF of 7728,2807
| 7 | 7728, 2807 |
| 1104, 401 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7728,2807 By Matching Biggest Common Factor Method
Now, list down the factors of 7728
:1,2,3,4,6,7,8,12,14,16,21,23,24,28,42,46,48,56,69,84,92,112,138,161,168,184,276,322,336,368,483,552,644,966,1104,1288,1932,2576,3864,7728
Now, list down the factors of 2807
:1,7,401,2807
Greatest Common Factor
We found the factors 7728,2807 . The biggest common factor number is the GCF number.
So the greatest common factor 7728,2807 is 7.
Lets's calculate LCM of 419,9745
Given numbers has no common factors except 1. So, there LCM is their product i.e 4083155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4083155
Therefore, the GCF of Fractions 7728/419,2807/9745 is 7/4083155
Least Common Multiple of 419,9745 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 419,9745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,9745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,9745) x common factors =1 x 1 = 1
LCM(419,9745) = ( 419 × 9745 ) / 1
LCM(419,9745) = 4083155 / 1
LCM(419,9745) = 4083155
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FAQs on GCF of Fractions of 7728/419, 2807/9745
1. What is the HCF of 7728,2807?
The HCF of 7728,2807 is 7
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 7728/419, 2807/9745?
Answer: GCF of Numerators as per given numbers 7728/419, 2807/9745 is
GCF of Numerators i.e. for 7728,2807 is 7
LCM of denominators i.e. for 419,9745 is 4083155.
Thus, GCF of Fractions is 7/4083155.Finally, GCF of Fractions for 7728/419, 2807/9745 is 7/4083155.