GCF of 2338/382, 6237/2226
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2338/382, 6237/2226 i.e 7/425166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2338/382, 6237/2226.
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 2338/382,6237/2226?
Given fractions are 2338/382,6237/2226
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 2338/382,6237/2226, numerators are 2338,6237
Denominators are 382,2226
The GCF of 2338,6237 is 7 .
LCM of 382,2226 is 425166.
The greatest common factor of 2338/382,6237/2226 = [GCF of 2338,6237]/[LCM of 382,2226]= 7/425166
Therefore, the GCF of 2338/382,6237/2226 is 7/425166.
To find the highest common factor of 2338,6237, we have to find the factors of both numbers and list the highest common factor.
The factors of 2338 are 1, 2, 7, 14, 167, 334, 1169, 2338
The factors of 6237 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 81, 99, 189, 231, 297, 567, 693, 891, 2079, 6237
The HCF of 2338,6237 is 7.
Lets's calculate GCF of 2338,6237
| 7 | 2338, 6237 |
| 334, 891 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2338,6237 By Matching Biggest Common Factor Method
Now, list down the factors of 2338
:1,2,7,14,167,334,1169,2338
Now, list down the factors of 6237
:1,3,7,9,11,21,27,33,63,77,81,99,189,231,297,567,693,891,2079,6237
Greatest Common Factor
We found the factors 2338,6237 . The biggest common factor number is the GCF number.
So the greatest common factor 2338,6237 is 7.
Lets's calculate LCM of 382,2226
| 2 | 382, 2226 |
| 191, 1113 |
∴ So the LCM of the given numbers is 2 x 191 x 1113 = 425166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/425166
Therefore, the GCF of Fractions 2338/382,6237/2226 is 7/425166
Least Common Multiple of 382,2226 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 382,2226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,2226) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,2226) x common factors =2 x 1 = 2
LCM(382,2226) = ( 382 × 2226 ) / 2
LCM(382,2226) = 850332 / 2
LCM(382,2226) = 425166
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FAQs on GCF of Fractions of 2338/382, 6237/2226
1. What is the HCF of 2338,6237?
The HCF of 2338,6237 is 7
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 2338/382, 6237/2226?
Answer: GCF of Numerators as per given numbers 2338/382, 6237/2226 is
GCF of Numerators i.e. for 2338,6237 is 7
LCM of denominators i.e. for 382,2226 is 425166.
Thus, GCF of Fractions is 7/425166.Finally, GCF of Fractions for 2338/382, 6237/2226 is 7/425166.