GCF of 9904/205, 8009/1430
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9904/205, 8009/1430 i.e 1/58630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9904/205, 8009/1430.
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 9904/205,8009/1430?
Given fractions are 9904/205,8009/1430
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 9904/205,8009/1430, numerators are 9904,8009
Denominators are 205,1430
The GCF of 9904,8009 is 1 .
LCM of 205,1430 is 58630.
The greatest common factor of 9904/205,8009/1430 = [GCF of 9904,8009]/[LCM of 205,1430]= 1/58630
Therefore, the GCF of 9904/205,8009/1430 is 1/58630.
To find the highest common factor of 9904,8009, we have to find the factors of both numbers and list the highest common factor.
The factors of 9904 are 1, 2, 4, 8, 16, 619, 1238, 2476, 4952, 9904
The factors of 8009 are 1, 8009
The HCF of 9904,8009 is 1.
Lets's calculate GCF of 9904,8009
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9904,8009 By Matching Biggest Common Factor Method
Now, list down the factors of 9904
:1,2,4,8,16,619,1238,2476,4952,9904
Now, list down the factors of 8009
:1,8009
Greatest Common Factor
We found the factors 9904,8009 . The biggest common factor number is the GCF number.
So the greatest common factor 9904,8009 is 1.
Lets's calculate LCM of 205,1430
| 5 | 205, 1430 |
| 41, 286 |
∴ So the LCM of the given numbers is 5 x 41 x 286 = 58630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58630
Therefore, the GCF of Fractions 9904/205,8009/1430 is 1/58630
Least Common Multiple of 205,1430 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 205,1430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,1430) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(205,1430) x common factors =5 x 1 = 5
LCM(205,1430) = ( 205 × 1430 ) / 5
LCM(205,1430) = 293150 / 5
LCM(205,1430) = 58630
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FAQs on GCF of Fractions of 9904/205, 8009/1430
1. What is the HCF of 9904,8009?
The HCF of 9904,8009 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 9904/205, 8009/1430?
Answer: GCF of Numerators as per given numbers 9904/205, 8009/1430 is
GCF of Numerators i.e. for 9904,8009 is 1
LCM of denominators i.e. for 205,1430 is 58630.
Thus, GCF of Fractions is 1/58630.Finally, GCF of Fractions for 9904/205, 8009/1430 is 1/58630.