GCF of 2257/365, 3224/365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2257/365, 3224/365 i.e 1/365 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2257/365, 3224/365.
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 2257/365,3224/365?
Given fractions are 2257/365,3224/365
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 2257/365,3224/365, numerators are 2257,3224
Denominators are 365,365
The GCF of 2257,3224 is 1 .
LCM of 365,365 is 365.
The greatest common factor of 2257/365,3224/365 = [GCF of 2257,3224]/[LCM of 365,365]= 1/365
Therefore, the GCF of 2257/365,3224/365 is 1/365.
To find the highest common factor of 2257,3224, we have to find the factors of both numbers and list the highest common factor.
The factors of 2257 are 1, 37, 61, 2257
The factors of 3224 are 1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 248, 403, 806, 1612, 3224
The HCF of 2257,3224 is 1.
Lets's calculate GCF of 2257,3224
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2257,3224 By Matching Biggest Common Factor Method
Now, list down the factors of 2257
:1,37,61,2257
Now, list down the factors of 3224
:1,2,4,8,13,26,31,52,62,104,124,248,403,806,1612,3224
Greatest Common Factor
We found the factors 2257,3224 . The biggest common factor number is the GCF number.
So the greatest common factor 2257,3224 is 1.
Lets's calculate LCM of 365,365
| 5 | 365, 365 |
| 73 | 73, 73 |
| 1, 1 |
∴ So the LCM of the given numbers is 5 x 73 x 1 x 1 = 365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365
Therefore, the GCF of Fractions 2257/365,3224/365 is 1/365
Least Common Multiple of 365,365 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 365,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,365) = 365
common factors(in case of two or more numbers have common factors) = 1
GCF(365,365) x common factors =365 x 1 = 365
LCM(365,365) = ( 365 × 365 ) / 365
LCM(365,365) = 133225 / 365
LCM(365,365) = 365
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FAQs on GCF of Fractions of 2257/365, 3224/365
1. What is the HCF of 2257,3224?
The HCF of 2257,3224 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 2257/365, 3224/365?
Answer: GCF of Numerators as per given numbers 2257/365, 3224/365 is
GCF of Numerators i.e. for 2257,3224 is 1
LCM of denominators i.e. for 365,365 is 365.
Thus, GCF of Fractions is 1/365.Finally, GCF of Fractions for 2257/365, 3224/365 is 1/365.