GCF of 5824/829, 3766/3237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5824/829, 3766/3237 i.e 14/2683473 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5824/829, 3766/3237.
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 5824/829,3766/3237?
Given fractions are 5824/829,3766/3237
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 5824/829,3766/3237, numerators are 5824,3766
Denominators are 829,3237
The GCF of 5824,3766 is 14 .
LCM of 829,3237 is 2683473.
The greatest common factor of 5824/829,3766/3237 = [GCF of 5824,3766]/[LCM of 829,3237]= 14/2683473
Therefore, the GCF of 5824/829,3766/3237 is 14/2683473.
To find the highest common factor of 5824,3766, we have to find the factors of both numbers and list the highest common factor.
The factors of 5824 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 64, 91, 104, 112, 182, 208, 224, 364, 416, 448, 728, 832, 1456, 2912, 5824
The factors of 3766 are 1, 2, 7, 14, 269, 538, 1883, 3766
The HCF of 5824,3766 is 14.
Lets's calculate GCF of 5824,3766
| 2 | 5824, 3766 |
| 7 | 2912, 1883 |
| 416, 269 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 5824,3766 By Matching Biggest Common Factor Method
Now, list down the factors of 5824
:1,2,4,7,8,13,14,16,26,28,32,52,56,64,91,104,112,182,208,224,364,416,448,728,832,1456,2912,5824
Now, list down the factors of 3766
:1,2,7,14,269,538,1883,3766
Greatest Common Factor
We found the factors 5824,3766 . The biggest common factor number is the GCF number.
So the greatest common factor 5824,3766 is 14.
Lets's calculate LCM of 829,3237
Given numbers has no common factors except 1. So, there LCM is their product i.e 2683473
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2683473
Therefore, the GCF of Fractions 5824/829,3766/3237 is 14/2683473
Least Common Multiple of 829,3237 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 829,3237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,3237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,3237) x common factors =1 x 1 = 1
LCM(829,3237) = ( 829 × 3237 ) / 1
LCM(829,3237) = 2683473 / 1
LCM(829,3237) = 2683473
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FAQs on GCF of Fractions of 5824/829, 3766/3237
1. What is the HCF of 5824,3766?
The HCF of 5824,3766 is 14
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 5824/829, 3766/3237?
Answer: GCF of Numerators as per given numbers 5824/829, 3766/3237 is
GCF of Numerators i.e. for 5824,3766 is 14
LCM of denominators i.e. for 829,3237 is 2683473.
Thus, GCF of Fractions is 14/2683473.Finally, GCF of Fractions for 5824/829, 3766/3237 is 14/2683473.