GCF of 8008/130, 8668/390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8008/130, 8668/390 i.e 44/390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8008/130, 8668/390.
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 8008/130,8668/390?
Given fractions are 8008/130,8668/390
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 8008/130,8668/390, numerators are 8008,8668
Denominators are 130,390
The GCF of 8008,8668 is 44 .
LCM of 130,390 is 390.
The greatest common factor of 8008/130,8668/390 = [GCF of 8008,8668]/[LCM of 130,390]= 44/390
Therefore, the GCF of 8008/130,8668/390 is 44/390.
To find the highest common factor of 8008,8668, 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 8668 are 1, 2, 4, 11, 22, 44, 197, 394, 788, 2167, 4334, 8668
The HCF of 8008,8668 is 44.
Lets's calculate GCF of 8008,8668
| 2 | 8008, 8668 |
| 2 | 4004, 4334 |
| 11 | 2002, 2167 |
| 182, 197 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Greatest Common Factor of 8008,8668 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 8668
:1,2,4,11,22,44,197,394,788,2167,4334,8668
Greatest Common Factor
We found the factors 8008,8668 . The biggest common factor number is the GCF number.
So the greatest common factor 8008,8668 is 44.
Lets's calculate LCM of 130,390
| 2 | 130, 390 |
| 5 | 65, 195 |
| 13 | 13, 39 |
| 1, 3 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 1 x 3 = 390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/390
Therefore, the GCF of Fractions 8008/130,8668/390 is 44/390
Least Common Multiple of 130,390 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 130,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,390) = 130
common factors(in case of two or more numbers have common factors) = 1
GCF(130,390) x common factors =130 x 1 = 130
LCM(130,390) = ( 130 × 390 ) / 130
LCM(130,390) = 50700 / 130
LCM(130,390) = 390
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FAQs on GCF of Fractions of 8008/130, 8668/390
1. What is the HCF of 8008,8668?
The HCF of 8008,8668 is 44
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 8008/130, 8668/390?
Answer: GCF of Numerators as per given numbers 8008/130, 8668/390 is
GCF of Numerators i.e. for 8008,8668 is 44
LCM of denominators i.e. for 130,390 is 390.
Thus, GCF of Fractions is 44/390.Finally, GCF of Fractions for 8008/130, 8668/390 is 44/390.