GCF of 7287/184, 2818/368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7287/184, 2818/368 i.e 1/368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7287/184, 2818/368.
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 7287/184,2818/368?
Given fractions are 7287/184,2818/368
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 7287/184,2818/368, numerators are 7287,2818
Denominators are 184,368
The GCF of 7287,2818 is 1 .
LCM of 184,368 is 368.
The greatest common factor of 7287/184,2818/368 = [GCF of 7287,2818]/[LCM of 184,368]= 1/368
Therefore, the GCF of 7287/184,2818/368 is 1/368.
To find the highest common factor of 7287,2818, we have to find the factors of both numbers and list the highest common factor.
The factors of 7287 are 1, 3, 7, 21, 347, 1041, 2429, 7287
The factors of 2818 are 1, 2, 1409, 2818
The HCF of 7287,2818 is 1.
Lets's calculate GCF of 7287,2818
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7287,2818 By Matching Biggest Common Factor Method
Now, list down the factors of 7287
:1,3,7,21,347,1041,2429,7287
Now, list down the factors of 2818
:1,2,1409,2818
Greatest Common Factor
We found the factors 7287,2818 . The biggest common factor number is the GCF number.
So the greatest common factor 7287,2818 is 1.
Lets's calculate LCM of 184,368
| 2 | 184, 368 |
| 2 | 92, 184 |
| 2 | 46, 92 |
| 23 | 23, 46 |
| 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 1 x 2 = 368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/368
Therefore, the GCF of Fractions 7287/184,2818/368 is 1/368
Least Common Multiple of 184,368 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 184,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,368) = 184
common factors(in case of two or more numbers have common factors) = 1
GCF(184,368) x common factors =184 x 1 = 184
LCM(184,368) = ( 184 × 368 ) / 184
LCM(184,368) = 67712 / 184
LCM(184,368) = 368
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FAQs on GCF of Fractions of 7287/184, 2818/368
1. What is the HCF of 7287,2818?
The HCF of 7287,2818 is 1
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 7287/184, 2818/368?
Answer: GCF of Numerators as per given numbers 7287/184, 2818/368 is
GCF of Numerators i.e. for 7287,2818 is 1
LCM of denominators i.e. for 184,368 is 368.
Thus, GCF of Fractions is 1/368.Finally, GCF of Fractions for 7287/184, 2818/368 is 1/368.