GCF of 5009/247, 2000/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5009/247, 2000/117 i.e 1/2223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5009/247, 2000/117.
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 5009/247,2000/117?
Given fractions are 5009/247,2000/117
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 5009/247,2000/117, numerators are 5009,2000
Denominators are 247,117
The GCF of 5009,2000 is 1 .
LCM of 247,117 is 2223.
The greatest common factor of 5009/247,2000/117 = [GCF of 5009,2000]/[LCM of 247,117]= 1/2223
Therefore, the GCF of 5009/247,2000/117 is 1/2223.
To find the highest common factor of 5009,2000, we have to find the factors of both numbers and list the highest common factor.
The factors of 5009 are 1, 5009
The factors of 2000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 1000, 2000
The HCF of 5009,2000 is 1.
Lets's calculate GCF of 5009,2000
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5009,2000 By Matching Biggest Common Factor Method
Now, list down the factors of 5009
:1,5009
Now, list down the factors of 2000
:1,2,4,5,8,10,16,20,25,40,50,80,100,125,200,250,400,500,1000,2000
Greatest Common Factor
We found the factors 5009,2000 . The biggest common factor number is the GCF number.
So the greatest common factor 5009,2000 is 1.
Lets's calculate LCM of 247,117
| 13 | 247, 117 |
| 19, 9 |
∴ So the LCM of the given numbers is 13 x 19 x 9 = 2223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2223
Therefore, the GCF of Fractions 5009/247,2000/117 is 1/2223
Least Common Multiple of 247,117 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 247,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,117) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(247,117) x common factors =13 x 1 = 13
LCM(247,117) = ( 247 × 117 ) / 13
LCM(247,117) = 28899 / 13
LCM(247,117) = 2223
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FAQs on GCF of Fractions of 5009/247, 2000/117
1. What is the HCF of 5009,2000?
The HCF of 5009,2000 is 1
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 5009/247, 2000/117?
Answer: GCF of Numerators as per given numbers 5009/247, 2000/117 is
GCF of Numerators i.e. for 5009,2000 is 1
LCM of denominators i.e. for 247,117 is 2223.
Thus, GCF of Fractions is 1/2223.Finally, GCF of Fractions for 5009/247, 2000/117 is 1/2223.