GCF of 2244/409, 5335/5749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2244/409, 5335/5749 i.e 11/2351341 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2244/409, 5335/5749.
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 2244/409,5335/5749?
Given fractions are 2244/409,5335/5749
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 2244/409,5335/5749, numerators are 2244,5335
Denominators are 409,5749
The GCF of 2244,5335 is 11 .
LCM of 409,5749 is 2351341.
The greatest common factor of 2244/409,5335/5749 = [GCF of 2244,5335]/[LCM of 409,5749]= 11/2351341
Therefore, the GCF of 2244/409,5335/5749 is 11/2351341.
To find the highest common factor of 2244,5335, we have to find the factors of both numbers and list the highest common factor.
The factors of 2244 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244
The factors of 5335 are 1, 5, 11, 55, 97, 485, 1067, 5335
The HCF of 2244,5335 is 11.
Lets's calculate GCF of 2244,5335
| 11 | 2244, 5335 |
| 204, 485 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2244,5335 By Matching Biggest Common Factor Method
Now, list down the factors of 2244
:1,2,3,4,6,11,12,17,22,33,34,44,51,66,68,102,132,187,204,374,561,748,1122,2244
Now, list down the factors of 5335
:1,5,11,55,97,485,1067,5335
Greatest Common Factor
We found the factors 2244,5335 . The biggest common factor number is the GCF number.
So the greatest common factor 2244,5335 is 11.
Lets's calculate LCM of 409,5749
Given numbers has no common factors except 1. So, there LCM is their product i.e 2351341
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2351341
Therefore, the GCF of Fractions 2244/409,5335/5749 is 11/2351341
Least Common Multiple of 409,5749 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 409,5749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,5749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,5749) x common factors =1 x 1 = 1
LCM(409,5749) = ( 409 × 5749 ) / 1
LCM(409,5749) = 2351341 / 1
LCM(409,5749) = 2351341
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FAQs on GCF of Fractions of 2244/409, 5335/5749
1. What is the HCF of 2244,5335?
The HCF of 2244,5335 is 11
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 2244/409, 5335/5749?
Answer: GCF of Numerators as per given numbers 2244/409, 5335/5749 is
GCF of Numerators i.e. for 2244,5335 is 11
LCM of denominators i.e. for 409,5749 is 2351341.
Thus, GCF of Fractions is 11/2351341.Finally, GCF of Fractions for 2244/409, 5335/5749 is 11/2351341.