GCF of 8008/929, 5390/159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8008/929, 5390/159 i.e 154/147711 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8008/929, 5390/159.
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 8008/929,5390/159?
Given fractions are 8008/929,5390/159
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 8008/929,5390/159, numerators are 8008,5390
Denominators are 929,159
The GCF of 8008,5390 is 154 .
LCM of 929,159 is 147711.
The greatest common factor of 8008/929,5390/159 = [GCF of 8008,5390]/[LCM of 929,159]= 154/147711
Therefore, the GCF of 8008/929,5390/159 is 154/147711.
To find the highest common factor of 8008,5390, 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 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390
The HCF of 8008,5390 is 154.
Lets's calculate GCF of 8008,5390
| 2 | 8008, 5390 |
| 7 | 4004, 2695 |
| 11 | 572, 385 |
| 52, 35 |
∴ So the GCF of the given numbers is 2 x 7 x 11 = 154
Greatest Common Factor of 8008,5390 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 5390
:1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390
Greatest Common Factor
We found the factors 8008,5390 . The biggest common factor number is the GCF number.
So the greatest common factor 8008,5390 is 154.
Lets's calculate LCM of 929,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 147711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 154/147711
Therefore, the GCF of Fractions 8008/929,5390/159 is 154/147711
Least Common Multiple of 929,159 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 929,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,159) x common factors =1 x 1 = 1
LCM(929,159) = ( 929 × 159 ) / 1
LCM(929,159) = 147711 / 1
LCM(929,159) = 147711
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FAQs on GCF of Fractions of 8008/929, 5390/159
1. What is the HCF of 8008,5390?
The HCF of 8008,5390 is 154
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 8008/929, 5390/159?
Answer: GCF of Numerators as per given numbers 8008/929, 5390/159 is
GCF of Numerators i.e. for 8008,5390 is 154
LCM of denominators i.e. for 929,159 is 147711.
Thus, GCF of Fractions is 154/147711.Finally, GCF of Fractions for 8008/929, 5390/159 is 154/147711.