GCF of 9449/490, 8143/7648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9449/490, 8143/7648 i.e 1/1873760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9449/490, 8143/7648.
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 9449/490,8143/7648?
Given fractions are 9449/490,8143/7648
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 9449/490,8143/7648, numerators are 9449,8143
Denominators are 490,7648
The GCF of 9449,8143 is 1 .
LCM of 490,7648 is 1873760.
The greatest common factor of 9449/490,8143/7648 = [GCF of 9449,8143]/[LCM of 490,7648]= 1/1873760
Therefore, the GCF of 9449/490,8143/7648 is 1/1873760.
To find the highest common factor of 9449,8143, we have to find the factors of both numbers and list the highest common factor.
The factors of 9449 are 1, 11, 859, 9449
The factors of 8143 are 1, 17, 479, 8143
The HCF of 9449,8143 is 1.
Lets's calculate GCF of 9449,8143
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9449,8143 By Matching Biggest Common Factor Method
Now, list down the factors of 9449
:1,11,859,9449
Now, list down the factors of 8143
:1,17,479,8143
Greatest Common Factor
We found the factors 9449,8143 . The biggest common factor number is the GCF number.
So the greatest common factor 9449,8143 is 1.
Lets's calculate LCM of 490,7648
| 2 | 490, 7648 |
| 245, 3824 |
∴ So the LCM of the given numbers is 2 x 245 x 3824 = 1873760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1873760
Therefore, the GCF of Fractions 9449/490,8143/7648 is 1/1873760
Least Common Multiple of 490,7648 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 490,7648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,7648) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,7648) x common factors =2 x 1 = 2
LCM(490,7648) = ( 490 × 7648 ) / 2
LCM(490,7648) = 3747520 / 2
LCM(490,7648) = 1873760
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FAQs on GCF of Fractions of 9449/490, 8143/7648
1. What is the HCF of 9449,8143?
The HCF of 9449,8143 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 9449/490, 8143/7648?
Answer: GCF of Numerators as per given numbers 9449/490, 8143/7648 is
GCF of Numerators i.e. for 9449,8143 is 1
LCM of denominators i.e. for 490,7648 is 1873760.
Thus, GCF of Fractions is 1/1873760.Finally, GCF of Fractions for 9449/490, 8143/7648 is 1/1873760.