GCF of 9949/130, 1295/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9949/130, 1295/686 i.e 1/44590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9949/130, 1295/686.
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 9949/130,1295/686?
Given fractions are 9949/130,1295/686
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 9949/130,1295/686, numerators are 9949,1295
Denominators are 130,686
The GCF of 9949,1295 is 1 .
LCM of 130,686 is 44590.
The greatest common factor of 9949/130,1295/686 = [GCF of 9949,1295]/[LCM of 130,686]= 1/44590
Therefore, the GCF of 9949/130,1295/686 is 1/44590.
To find the highest common factor of 9949,1295, we have to find the factors of both numbers and list the highest common factor.
The factors of 9949 are 1, 9949
The factors of 1295 are 1, 5, 7, 35, 37, 185, 259, 1295
The HCF of 9949,1295 is 1.
Lets's calculate GCF of 9949,1295
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9949,1295 By Matching Biggest Common Factor Method
Now, list down the factors of 9949
:1,9949
Now, list down the factors of 1295
:1,5,7,35,37,185,259,1295
Greatest Common Factor
We found the factors 9949,1295 . The biggest common factor number is the GCF number.
So the greatest common factor 9949,1295 is 1.
Lets's calculate LCM of 130,686
| 2 | 130, 686 |
| 65, 343 |
∴ So the LCM of the given numbers is 2 x 65 x 343 = 44590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44590
Therefore, the GCF of Fractions 9949/130,1295/686 is 1/44590
Least Common Multiple of 130,686 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 130,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,686) x common factors =2 x 1 = 2
LCM(130,686) = ( 130 × 686 ) / 2
LCM(130,686) = 89180 / 2
LCM(130,686) = 44590
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FAQs on GCF of Fractions of 9949/130, 1295/686
1. What is the HCF of 9949,1295?
The HCF of 9949,1295 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 9949/130, 1295/686?
Answer: GCF of Numerators as per given numbers 9949/130, 1295/686 is
GCF of Numerators i.e. for 9949,1295 is 1
LCM of denominators i.e. for 130,686 is 44590.
Thus, GCF of Fractions is 1/44590.Finally, GCF of Fractions for 9949/130, 1295/686 is 1/44590.