GCF of 5228/449, 2214/3656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5228/449, 2214/3656 i.e 2/1641544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5228/449, 2214/3656.
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 5228/449,2214/3656?
Given fractions are 5228/449,2214/3656
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 5228/449,2214/3656, numerators are 5228,2214
Denominators are 449,3656
The GCF of 5228,2214 is 2 .
LCM of 449,3656 is 1641544.
The greatest common factor of 5228/449,2214/3656 = [GCF of 5228,2214]/[LCM of 449,3656]= 2/1641544
Therefore, the GCF of 5228/449,2214/3656 is 2/1641544.
To find the highest common factor of 5228,2214, we have to find the factors of both numbers and list the highest common factor.
The factors of 5228 are 1, 2, 4, 1307, 2614, 5228
The factors of 2214 are 1, 2, 3, 6, 9, 18, 27, 41, 54, 82, 123, 246, 369, 738, 1107, 2214
The HCF of 5228,2214 is 2.
Lets's calculate GCF of 5228,2214
| 2 | 5228, 2214 |
| 2614, 1107 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5228,2214 By Matching Biggest Common Factor Method
Now, list down the factors of 5228
:1,2,4,1307,2614,5228
Now, list down the factors of 2214
:1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214
Greatest Common Factor
We found the factors 5228,2214 . The biggest common factor number is the GCF number.
So the greatest common factor 5228,2214 is 2.
Lets's calculate LCM of 449,3656
Given numbers has no common factors except 1. So, there LCM is their product i.e 1641544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1641544
Therefore, the GCF of Fractions 5228/449,2214/3656 is 2/1641544
Least Common Multiple of 449,3656 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 449,3656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,3656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,3656) x common factors =1 x 1 = 1
LCM(449,3656) = ( 449 × 3656 ) / 1
LCM(449,3656) = 1641544 / 1
LCM(449,3656) = 1641544
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FAQs on GCF of Fractions of 5228/449, 2214/3656
1. What is the HCF of 5228,2214?
The HCF of 5228,2214 is 2
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 5228/449, 2214/3656?
Answer: GCF of Numerators as per given numbers 5228/449, 2214/3656 is
GCF of Numerators i.e. for 5228,2214 is 2
LCM of denominators i.e. for 449,3656 is 1641544.
Thus, GCF of Fractions is 2/1641544.Finally, GCF of Fractions for 5228/449, 2214/3656 is 2/1641544.