GCF of 9743/396, 2965/153
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9743/396, 2965/153 i.e 1/6732 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9743/396, 2965/153.
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 9743/396,2965/153?
Given fractions are 9743/396,2965/153
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 9743/396,2965/153, numerators are 9743,2965
Denominators are 396,153
The GCF of 9743,2965 is 1 .
LCM of 396,153 is 6732.
The greatest common factor of 9743/396,2965/153 = [GCF of 9743,2965]/[LCM of 396,153]= 1/6732
Therefore, the GCF of 9743/396,2965/153 is 1/6732.
To find the highest common factor of 9743,2965, we have to find the factors of both numbers and list the highest common factor.
The factors of 9743 are 1, 9743
The factors of 2965 are 1, 5, 593, 2965
The HCF of 9743,2965 is 1.
Lets's calculate GCF of 9743,2965
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9743,2965 By Matching Biggest Common Factor Method
Now, list down the factors of 9743
:1,9743
Now, list down the factors of 2965
:1,5,593,2965
Greatest Common Factor
We found the factors 9743,2965 . The biggest common factor number is the GCF number.
So the greatest common factor 9743,2965 is 1.
Lets's calculate LCM of 396,153
| 3 | 396, 153 |
| 3 | 132, 51 |
| 44, 17 |
∴ So the LCM of the given numbers is 3 x 3 x 44 x 17 = 6732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6732
Therefore, the GCF of Fractions 9743/396,2965/153 is 1/6732
Least Common Multiple of 396,153 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 396,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,153) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(396,153) x common factors =9 x 1 = 9
LCM(396,153) = ( 396 × 153 ) / 9
LCM(396,153) = 60588 / 9
LCM(396,153) = 6732
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9743/396, 2965/153
1. What is the HCF of 9743,2965?
The HCF of 9743,2965 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 9743/396, 2965/153?
Answer: GCF of Numerators as per given numbers 9743/396, 2965/153 is
GCF of Numerators i.e. for 9743,2965 is 1
LCM of denominators i.e. for 396,153 is 6732.
Thus, GCF of Fractions is 1/6732.Finally, GCF of Fractions for 9743/396, 2965/153 is 1/6732.