GCF of 9805/246, 5739/7689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9805/246, 5739/7689 i.e 1/630498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9805/246, 5739/7689.
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 9805/246,5739/7689?
Given fractions are 9805/246,5739/7689
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 9805/246,5739/7689, numerators are 9805,5739
Denominators are 246,7689
The GCF of 9805,5739 is 1 .
LCM of 246,7689 is 630498.
The greatest common factor of 9805/246,5739/7689 = [GCF of 9805,5739]/[LCM of 246,7689]= 1/630498
Therefore, the GCF of 9805/246,5739/7689 is 1/630498.
To find the highest common factor of 9805,5739, we have to find the factors of both numbers and list the highest common factor.
The factors of 9805 are 1, 5, 37, 53, 185, 265, 1961, 9805
The factors of 5739 are 1, 3, 1913, 5739
The HCF of 9805,5739 is 1.
Lets's calculate GCF of 9805,5739
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9805,5739 By Matching Biggest Common Factor Method
Now, list down the factors of 9805
:1,5,37,53,185,265,1961,9805
Now, list down the factors of 5739
:1,3,1913,5739
Greatest Common Factor
We found the factors 9805,5739 . The biggest common factor number is the GCF number.
So the greatest common factor 9805,5739 is 1.
Lets's calculate LCM of 246,7689
| 3 | 246, 7689 |
| 82, 2563 |
∴ So the LCM of the given numbers is 3 x 82 x 2563 = 630498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630498
Therefore, the GCF of Fractions 9805/246,5739/7689 is 1/630498
Least Common Multiple of 246,7689 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 246,7689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,7689) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(246,7689) x common factors =3 x 1 = 3
LCM(246,7689) = ( 246 × 7689 ) / 3
LCM(246,7689) = 1891494 / 3
LCM(246,7689) = 630498
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FAQs on GCF of Fractions of 9805/246, 5739/7689
1. What is the HCF of 9805,5739?
The HCF of 9805,5739 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 9805/246, 5739/7689?
Answer: GCF of Numerators as per given numbers 9805/246, 5739/7689 is
GCF of Numerators i.e. for 9805,5739 is 1
LCM of denominators i.e. for 246,7689 is 630498.
Thus, GCF of Fractions is 1/630498.Finally, GCF of Fractions for 9805/246, 5739/7689 is 1/630498.