GCF of 9726/611, 6484/705
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9726/611, 6484/705 i.e 3242/9165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9726/611, 6484/705.
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 9726/611,6484/705?
Given fractions are 9726/611,6484/705
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 9726/611,6484/705, numerators are 9726,6484
Denominators are 611,705
The GCF of 9726,6484 is 3242 .
LCM of 611,705 is 9165.
The greatest common factor of 9726/611,6484/705 = [GCF of 9726,6484]/[LCM of 611,705]= 3242/9165
Therefore, the GCF of 9726/611,6484/705 is 3242/9165.
To find the highest common factor of 9726,6484, we have to find the factors of both numbers and list the highest common factor.
The factors of 9726 are 1, 2, 3, 6, 1621, 3242, 4863, 9726
The factors of 6484 are 1, 2, 4, 1621, 3242, 6484
The HCF of 9726,6484 is 3242.
Lets's calculate GCF of 9726,6484
| 2 | 9726, 6484 |
| 1621 | 4863, 3242 |
| 3, 2 |
∴ So the GCF of the given numbers is 2 x 1621 = 3242
Greatest Common Factor of 9726,6484 By Matching Biggest Common Factor Method
Now, list down the factors of 9726
:1,2,3,6,1621,3242,4863,9726
Now, list down the factors of 6484
:1,2,4,1621,3242,6484
Greatest Common Factor
We found the factors 9726,6484 . The biggest common factor number is the GCF number.
So the greatest common factor 9726,6484 is 3242.
Lets's calculate LCM of 611,705
| 47 | 611, 705 |
| 13, 15 |
∴ So the LCM of the given numbers is 47 x 13 x 15 = 9165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3242/9165
Therefore, the GCF of Fractions 9726/611,6484/705 is 3242/9165
Least Common Multiple of 611,705 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 611,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,705) = 47
common factors(in case of two or more numbers have common factors) = 1
GCF(611,705) x common factors =47 x 1 = 47
LCM(611,705) = ( 611 × 705 ) / 47
LCM(611,705) = 430755 / 47
LCM(611,705) = 9165
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FAQs on GCF of Fractions of 9726/611, 6484/705
1. What is the HCF of 9726,6484?
The HCF of 9726,6484 is 3242
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 9726/611, 6484/705?
Answer: GCF of Numerators as per given numbers 9726/611, 6484/705 is
GCF of Numerators i.e. for 9726,6484 is 3242
LCM of denominators i.e. for 611,705 is 9165.
Thus, GCF of Fractions is 3242/9165.Finally, GCF of Fractions for 9726/611, 6484/705 is 3242/9165.