GCF of 8008/332, 6286/1229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8008/332, 6286/1229 i.e 14/408028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8008/332, 6286/1229.
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 8008/332,6286/1229?
Given fractions are 8008/332,6286/1229
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 8008/332,6286/1229, numerators are 8008,6286
Denominators are 332,1229
The GCF of 8008,6286 is 14 .
LCM of 332,1229 is 408028.
The greatest common factor of 8008/332,6286/1229 = [GCF of 8008,6286]/[LCM of 332,1229]= 14/408028
Therefore, the GCF of 8008/332,6286/1229 is 14/408028.
To find the highest common factor of 8008,6286, we have to find the factors of both numbers and list the highest common factor.
The factors of 8008 are 1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004, 8008
The factors of 6286 are 1, 2, 7, 14, 449, 898, 3143, 6286
The HCF of 8008,6286 is 14.
Lets's calculate GCF of 8008,6286
| 2 | 8008, 6286 |
| 7 | 4004, 3143 |
| 572, 449 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 8008,6286 By Matching Biggest Common Factor Method
Now, list down the factors of 8008
:1,2,4,7,8,11,13,14,22,26,28,44,52,56,77,88,91,104,143,154,182,286,308,364,572,616,728,1001,1144,2002,4004,8008
Now, list down the factors of 6286
:1,2,7,14,449,898,3143,6286
Greatest Common Factor
We found the factors 8008,6286 . The biggest common factor number is the GCF number.
So the greatest common factor 8008,6286 is 14.
Lets's calculate LCM of 332,1229
Given numbers has no common factors except 1. So, there LCM is their product i.e 408028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/408028
Therefore, the GCF of Fractions 8008/332,6286/1229 is 14/408028
Least Common Multiple of 332,1229 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 332,1229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,1229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,1229) x common factors =1 x 1 = 1
LCM(332,1229) = ( 332 × 1229 ) / 1
LCM(332,1229) = 408028 / 1
LCM(332,1229) = 408028
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FAQs on GCF of Fractions of 8008/332, 6286/1229
1. What is the HCF of 8008,6286?
The HCF of 8008,6286 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 8008/332, 6286/1229?
Answer: GCF of Numerators as per given numbers 8008/332, 6286/1229 is
GCF of Numerators i.e. for 8008,6286 is 14
LCM of denominators i.e. for 332,1229 is 408028.
Thus, GCF of Fractions is 14/408028.Finally, GCF of Fractions for 8008/332, 6286/1229 is 14/408028.