GCF of 7484/764, 4838/3105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7484/764, 4838/3105 i.e 2/2372220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7484/764, 4838/3105.
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 7484/764,4838/3105?
Given fractions are 7484/764,4838/3105
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 7484/764,4838/3105, numerators are 7484,4838
Denominators are 764,3105
The GCF of 7484,4838 is 2 .
LCM of 764,3105 is 2372220.
The greatest common factor of 7484/764,4838/3105 = [GCF of 7484,4838]/[LCM of 764,3105]= 2/2372220
Therefore, the GCF of 7484/764,4838/3105 is 2/2372220.
To find the highest common factor of 7484,4838, we have to find the factors of both numbers and list the highest common factor.
The factors of 7484 are 1, 2, 4, 1871, 3742, 7484
The factors of 4838 are 1, 2, 41, 59, 82, 118, 2419, 4838
The HCF of 7484,4838 is 2.
Lets's calculate GCF of 7484,4838
| 2 | 7484, 4838 |
| 3742, 2419 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7484,4838 By Matching Biggest Common Factor Method
Now, list down the factors of 7484
:1,2,4,1871,3742,7484
Now, list down the factors of 4838
:1,2,41,59,82,118,2419,4838
Greatest Common Factor
We found the factors 7484,4838 . The biggest common factor number is the GCF number.
So the greatest common factor 7484,4838 is 2.
Lets's calculate LCM of 764,3105
Given numbers has no common factors except 1. So, there LCM is their product i.e 2372220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2372220
Therefore, the GCF of Fractions 7484/764,4838/3105 is 2/2372220
Least Common Multiple of 764,3105 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 764,3105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,3105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,3105) x common factors =1 x 1 = 1
LCM(764,3105) = ( 764 × 3105 ) / 1
LCM(764,3105) = 2372220 / 1
LCM(764,3105) = 2372220
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FAQs on GCF of Fractions of 7484/764, 4838/3105
1. What is the HCF of 7484,4838?
The HCF of 7484,4838 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 7484/764, 4838/3105?
Answer: GCF of Numerators as per given numbers 7484/764, 4838/3105 is
GCF of Numerators i.e. for 7484,4838 is 2
LCM of denominators i.e. for 764,3105 is 2372220.
Thus, GCF of Fractions is 2/2372220.Finally, GCF of Fractions for 7484/764, 4838/3105 is 2/2372220.