GCF of 3184/644, 3028/3743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3184/644, 3028/3743 i.e 4/2410492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3184/644, 3028/3743.
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 3184/644,3028/3743?
Given fractions are 3184/644,3028/3743
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 3184/644,3028/3743, numerators are 3184,3028
Denominators are 644,3743
The GCF of 3184,3028 is 4 .
LCM of 644,3743 is 2410492.
The greatest common factor of 3184/644,3028/3743 = [GCF of 3184,3028]/[LCM of 644,3743]= 4/2410492
Therefore, the GCF of 3184/644,3028/3743 is 4/2410492.
To find the highest common factor of 3184,3028, we have to find the factors of both numbers and list the highest common factor.
The factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184
The factors of 3028 are 1, 2, 4, 757, 1514, 3028
The HCF of 3184,3028 is 4.
Lets's calculate GCF of 3184,3028
| 2 | 3184, 3028 |
| 2 | 1592, 1514 |
| 796, 757 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3184,3028 By Matching Biggest Common Factor Method
Now, list down the factors of 3184
:1,2,4,8,16,199,398,796,1592,3184
Now, list down the factors of 3028
:1,2,4,757,1514,3028
Greatest Common Factor
We found the factors 3184,3028 . The biggest common factor number is the GCF number.
So the greatest common factor 3184,3028 is 4.
Lets's calculate LCM of 644,3743
Given numbers has no common factors except 1. So, there LCM is their product i.e 2410492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2410492
Therefore, the GCF of Fractions 3184/644,3028/3743 is 4/2410492
Least Common Multiple of 644,3743 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 644,3743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,3743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,3743) x common factors =1 x 1 = 1
LCM(644,3743) = ( 644 × 3743 ) / 1
LCM(644,3743) = 2410492 / 1
LCM(644,3743) = 2410492
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FAQs on GCF of Fractions of 3184/644, 3028/3743
1. What is the HCF of 3184,3028?
The HCF of 3184,3028 is 4
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 3184/644, 3028/3743?
Answer: GCF of Numerators as per given numbers 3184/644, 3028/3743 is
GCF of Numerators i.e. for 3184,3028 is 4
LCM of denominators i.e. for 644,3743 is 2410492.
Thus, GCF of Fractions is 4/2410492.Finally, GCF of Fractions for 3184/644, 3028/3743 is 4/2410492.