GCF of 5771/365, 3184/4783
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5771/365, 3184/4783 i.e 199/1745795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5771/365, 3184/4783.
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 5771/365,3184/4783?
Given fractions are 5771/365,3184/4783
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 5771/365,3184/4783, numerators are 5771,3184
Denominators are 365,4783
The GCF of 5771,3184 is 199 .
LCM of 365,4783 is 1745795.
The greatest common factor of 5771/365,3184/4783 = [GCF of 5771,3184]/[LCM of 365,4783]= 199/1745795
Therefore, the GCF of 5771/365,3184/4783 is 199/1745795.
To find the highest common factor of 5771,3184, we have to find the factors of both numbers and list the highest common factor.
The factors of 5771 are 1, 29, 199, 5771
The factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184
The HCF of 5771,3184 is 199.
Lets's calculate GCF of 5771,3184
| 199 | 5771, 3184 |
| 29, 16 |
∴ So the GCF of the given numbers is 199 = 199
Greatest Common Factor of 5771,3184 By Matching Biggest Common Factor Method
Now, list down the factors of 5771
:1,29,199,5771
Now, list down the factors of 3184
:1,2,4,8,16,199,398,796,1592,3184
Greatest Common Factor
We found the factors 5771,3184 . The biggest common factor number is the GCF number.
So the greatest common factor 5771,3184 is 199.
Lets's calculate LCM of 365,4783
Given numbers has no common factors except 1. So, there LCM is their product i.e 1745795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 199/1745795
Therefore, the GCF of Fractions 5771/365,3184/4783 is 199/1745795
Least Common Multiple of 365,4783 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 365,4783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,4783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,4783) x common factors =1 x 1 = 1
LCM(365,4783) = ( 365 × 4783 ) / 1
LCM(365,4783) = 1745795 / 1
LCM(365,4783) = 1745795
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FAQs on GCF of Fractions of 5771/365, 3184/4783
1. What is the HCF of 5771,3184?
The HCF of 5771,3184 is 199
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 5771/365, 3184/4783?
Answer: GCF of Numerators as per given numbers 5771/365, 3184/4783 is
GCF of Numerators i.e. for 5771,3184 is 199
LCM of denominators i.e. for 365,4783 is 1745795.
Thus, GCF of Fractions is 199/1745795.Finally, GCF of Fractions for 5771/365, 3184/4783 is 199/1745795.