GCF of 2255/372, 6336/7629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2255/372, 6336/7629 i.e 11/945996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2255/372, 6336/7629.
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 2255/372,6336/7629?
Given fractions are 2255/372,6336/7629
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 2255/372,6336/7629, numerators are 2255,6336
Denominators are 372,7629
The GCF of 2255,6336 is 11 .
LCM of 372,7629 is 945996.
The greatest common factor of 2255/372,6336/7629 = [GCF of 2255,6336]/[LCM of 372,7629]= 11/945996
Therefore, the GCF of 2255/372,6336/7629 is 11/945996.
To find the highest common factor of 2255,6336, we have to find the factors of both numbers and list the highest common factor.
The factors of 2255 are 1, 5, 11, 41, 55, 205, 451, 2255
The factors of 6336 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 132, 144, 176, 192, 198, 264, 288, 352, 396, 528, 576, 704, 792, 1056, 1584, 2112, 3168, 6336
The HCF of 2255,6336 is 11.
Lets's calculate GCF of 2255,6336
| 11 | 2255, 6336 |
| 205, 576 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 2255,6336 By Matching Biggest Common Factor Method
Now, list down the factors of 2255
:1,5,11,41,55,205,451,2255
Now, list down the factors of 6336
:1,2,3,4,6,8,9,11,12,16,18,22,24,32,33,36,44,48,64,66,72,88,96,99,132,144,176,192,198,264,288,352,396,528,576,704,792,1056,1584,2112,3168,6336
Greatest Common Factor
We found the factors 2255,6336 . The biggest common factor number is the GCF number.
So the greatest common factor 2255,6336 is 11.
Lets's calculate LCM of 372,7629
| 3 | 372, 7629 |
| 124, 2543 |
∴ So the LCM of the given numbers is 3 x 124 x 2543 = 945996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/945996
Therefore, the GCF of Fractions 2255/372,6336/7629 is 11/945996
Least Common Multiple of 372,7629 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 372,7629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,7629) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(372,7629) x common factors =3 x 1 = 3
LCM(372,7629) = ( 372 × 7629 ) / 3
LCM(372,7629) = 2837988 / 3
LCM(372,7629) = 945996
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FAQs on GCF of Fractions of 2255/372, 6336/7629
1. What is the HCF of 2255,6336?
The HCF of 2255,6336 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 2255/372, 6336/7629?
Answer: GCF of Numerators as per given numbers 2255/372, 6336/7629 is
GCF of Numerators i.e. for 2255,6336 is 11
LCM of denominators i.e. for 372,7629 is 945996.
Thus, GCF of Fractions is 11/945996.Finally, GCF of Fractions for 2255/372, 6336/7629 is 11/945996.