GCF of 9228/214, 2217/5444
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9228/214, 2217/5444 i.e 3/582508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9228/214, 2217/5444.
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 9228/214,2217/5444?
Given fractions are 9228/214,2217/5444
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 9228/214,2217/5444, numerators are 9228,2217
Denominators are 214,5444
The GCF of 9228,2217 is 3 .
LCM of 214,5444 is 582508.
The greatest common factor of 9228/214,2217/5444 = [GCF of 9228,2217]/[LCM of 214,5444]= 3/582508
Therefore, the GCF of 9228/214,2217/5444 is 3/582508.
To find the highest common factor of 9228,2217, we have to find the factors of both numbers and list the highest common factor.
The factors of 9228 are 1, 2, 3, 4, 6, 12, 769, 1538, 2307, 3076, 4614, 9228
The factors of 2217 are 1, 3, 739, 2217
The HCF of 9228,2217 is 3.
Lets's calculate GCF of 9228,2217
| 3 | 9228, 2217 |
| 3076, 739 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9228,2217 By Matching Biggest Common Factor Method
Now, list down the factors of 9228
:1,2,3,4,6,12,769,1538,2307,3076,4614,9228
Now, list down the factors of 2217
:1,3,739,2217
Greatest Common Factor
We found the factors 9228,2217 . The biggest common factor number is the GCF number.
So the greatest common factor 9228,2217 is 3.
Lets's calculate LCM of 214,5444
| 2 | 214, 5444 |
| 107, 2722 |
∴ So the LCM of the given numbers is 2 x 107 x 2722 = 582508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/582508
Therefore, the GCF of Fractions 9228/214,2217/5444 is 3/582508
Least Common Multiple of 214,5444 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 214,5444 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,5444) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,5444) x common factors =2 x 1 = 2
LCM(214,5444) = ( 214 × 5444 ) / 2
LCM(214,5444) = 1165016 / 2
LCM(214,5444) = 582508
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FAQs on GCF of Fractions of 9228/214, 2217/5444
1. What is the HCF of 9228,2217?
The HCF of 9228,2217 is 3
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 9228/214, 2217/5444?
Answer: GCF of Numerators as per given numbers 9228/214, 2217/5444 is
GCF of Numerators i.e. for 9228,2217 is 3
LCM of denominators i.e. for 214,5444 is 582508.
Thus, GCF of Fractions is 3/582508.Finally, GCF of Fractions for 9228/214, 2217/5444 is 3/582508.