GCF of 2008/159, 7220/3149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2008/159, 7220/3149 i.e 4/500691 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2008/159, 7220/3149.
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 2008/159,7220/3149?
Given fractions are 2008/159,7220/3149
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 2008/159,7220/3149, numerators are 2008,7220
Denominators are 159,3149
The GCF of 2008,7220 is 4 .
LCM of 159,3149 is 500691.
The greatest common factor of 2008/159,7220/3149 = [GCF of 2008,7220]/[LCM of 159,3149]= 4/500691
Therefore, the GCF of 2008/159,7220/3149 is 4/500691.
To find the highest common factor of 2008,7220, we have to find the factors of both numbers and list the highest common factor.
The factors of 2008 are 1, 2, 4, 8, 251, 502, 1004, 2008
The factors of 7220 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 361, 380, 722, 1444, 1805, 3610, 7220
The HCF of 2008,7220 is 4.
Lets's calculate GCF of 2008,7220
| 2 | 2008, 7220 |
| 2 | 1004, 3610 |
| 502, 1805 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2008,7220 By Matching Biggest Common Factor Method
Now, list down the factors of 2008
:1,2,4,8,251,502,1004,2008
Now, list down the factors of 7220
:1,2,4,5,10,19,20,38,76,95,190,361,380,722,1444,1805,3610,7220
Greatest Common Factor
We found the factors 2008,7220 . The biggest common factor number is the GCF number.
So the greatest common factor 2008,7220 is 4.
Lets's calculate LCM of 159,3149
Given numbers has no common factors except 1. So, there LCM is their product i.e 500691
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/500691
Therefore, the GCF of Fractions 2008/159,7220/3149 is 4/500691
Least Common Multiple of 159,3149 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 159,3149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,3149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,3149) x common factors =1 x 1 = 1
LCM(159,3149) = ( 159 × 3149 ) / 1
LCM(159,3149) = 500691 / 1
LCM(159,3149) = 500691
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FAQs on GCF of Fractions of 2008/159, 7220/3149
1. What is the HCF of 2008,7220?
The HCF of 2008,7220 is 4
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 2008/159, 7220/3149?
Answer: GCF of Numerators as per given numbers 2008/159, 7220/3149 is
GCF of Numerators i.e. for 2008,7220 is 4
LCM of denominators i.e. for 159,3149 is 500691.
Thus, GCF of Fractions is 4/500691.Finally, GCF of Fractions for 2008/159, 7220/3149 is 4/500691.