GCF of 3651/226, 4227/5918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3651/226, 4227/5918 i.e 3/668734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3651/226, 4227/5918.
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 3651/226,4227/5918?
Given fractions are 3651/226,4227/5918
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 3651/226,4227/5918, numerators are 3651,4227
Denominators are 226,5918
The GCF of 3651,4227 is 3 .
LCM of 226,5918 is 668734.
The greatest common factor of 3651/226,4227/5918 = [GCF of 3651,4227]/[LCM of 226,5918]= 3/668734
Therefore, the GCF of 3651/226,4227/5918 is 3/668734.
To find the highest common factor of 3651,4227, we have to find the factors of both numbers and list the highest common factor.
The factors of 3651 are 1, 3, 1217, 3651
The factors of 4227 are 1, 3, 1409, 4227
The HCF of 3651,4227 is 3.
Lets's calculate GCF of 3651,4227
| 3 | 3651, 4227 |
| 1217, 1409 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3651,4227 By Matching Biggest Common Factor Method
Now, list down the factors of 3651
:1,3,1217,3651
Now, list down the factors of 4227
:1,3,1409,4227
Greatest Common Factor
We found the factors 3651,4227 . The biggest common factor number is the GCF number.
So the greatest common factor 3651,4227 is 3.
Lets's calculate LCM of 226,5918
| 2 | 226, 5918 |
| 113, 2959 |
∴ So the LCM of the given numbers is 2 x 113 x 2959 = 668734
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/668734
Therefore, the GCF of Fractions 3651/226,4227/5918 is 3/668734
Least Common Multiple of 226,5918 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 226,5918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,5918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,5918) x common factors =2 x 1 = 2
LCM(226,5918) = ( 226 × 5918 ) / 2
LCM(226,5918) = 1337468 / 2
LCM(226,5918) = 668734
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FAQs on GCF of Fractions of 3651/226, 4227/5918
1. What is the HCF of 3651,4227?
The HCF of 3651,4227 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 3651/226, 4227/5918?
Answer: GCF of Numerators as per given numbers 3651/226, 4227/5918 is
GCF of Numerators i.e. for 3651,4227 is 3
LCM of denominators i.e. for 226,5918 is 668734.
Thus, GCF of Fractions is 3/668734.Finally, GCF of Fractions for 3651/226, 4227/5918 is 3/668734.