GCF of 9726/464, 1046/7344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9726/464, 1046/7344 i.e 2/212976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9726/464, 1046/7344.
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 9726/464,1046/7344?
Given fractions are 9726/464,1046/7344
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 9726/464,1046/7344, numerators are 9726,1046
Denominators are 464,7344
The GCF of 9726,1046 is 2 .
LCM of 464,7344 is 212976.
The greatest common factor of 9726/464,1046/7344 = [GCF of 9726,1046]/[LCM of 464,7344]= 2/212976
Therefore, the GCF of 9726/464,1046/7344 is 2/212976.
To find the highest common factor of 9726,1046, 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 1046 are 1, 2, 523, 1046
The HCF of 9726,1046 is 2.
Lets's calculate GCF of 9726,1046
| 2 | 9726, 1046 |
| 4863, 523 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9726,1046 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 1046
:1,2,523,1046
Greatest Common Factor
We found the factors 9726,1046 . The biggest common factor number is the GCF number.
So the greatest common factor 9726,1046 is 2.
Lets's calculate LCM of 464,7344
| 2 | 464, 7344 |
| 2 | 232, 3672 |
| 2 | 116, 1836 |
| 2 | 58, 918 |
| 29, 459 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 29 x 459 = 212976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/212976
Therefore, the GCF of Fractions 9726/464,1046/7344 is 2/212976
Least Common Multiple of 464,7344 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 464,7344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,7344) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(464,7344) x common factors =16 x 1 = 16
LCM(464,7344) = ( 464 × 7344 ) / 16
LCM(464,7344) = 3407616 / 16
LCM(464,7344) = 212976
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FAQs on GCF of Fractions of 9726/464, 1046/7344
1. What is the HCF of 9726,1046?
The HCF of 9726,1046 is 2
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 9726/464, 1046/7344?
Answer: GCF of Numerators as per given numbers 9726/464, 1046/7344 is
GCF of Numerators i.e. for 9726,1046 is 2
LCM of denominators i.e. for 464,7344 is 212976.
Thus, GCF of Fractions is 2/212976.Finally, GCF of Fractions for 9726/464, 1046/7344 is 2/212976.