GCF of 968/33, 297/873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 968/33, 297/873 i.e 11/9603 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/33, 297/873.
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 968/33,297/873?
Given fractions are 968/33,297/873
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 968/33,297/873, numerators are 968,297
Denominators are 33,873
The GCF of 968,297 is 11 .
LCM of 33,873 is 9603.
The greatest common factor of 968/33,297/873 = [GCF of 968,297]/[LCM of 33,873]= 11/9603
Therefore, the GCF of 968/33,297/873 is 11/9603.
To find the highest common factor of 968,297, we have to find the factors of both numbers and list the highest common factor.
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The factors of 297 are 1, 3, 9, 11, 27, 33, 99, 297
The HCF of 968,297 is 11.
Lets's calculate GCF of 968,297
| 11 | 968, 297 |
| 88, 27 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 968,297 By Matching Biggest Common Factor Method
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Now, list down the factors of 297
:1,3,9,11,27,33,99,297
Greatest Common Factor
We found the factors 968,297 . The biggest common factor number is the GCF number.
So the greatest common factor 968,297 is 11.
Lets's calculate LCM of 33,873
| 3 | 33, 873 |
| 11, 291 |
∴ So the LCM of the given numbers is 3 x 11 x 291 = 9603
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/9603
Therefore, the GCF of Fractions 968/33,297/873 is 11/9603
Least Common Multiple of 33,873 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 33,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,873) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(33,873) x common factors =3 x 1 = 3
LCM(33,873) = ( 33 × 873 ) / 3
LCM(33,873) = 28809 / 3
LCM(33,873) = 9603
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 968/33, 297/873
1. What is the HCF of 968,297?
The HCF of 968,297 is 11
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 968/33, 297/873?
Answer: GCF of Numerators as per given numbers 968/33, 297/873 is
GCF of Numerators i.e. for 968,297 is 11
LCM of denominators i.e. for 33,873 is 9603.
Thus, GCF of Fractions is 11/9603.Finally, GCF of Fractions for 968/33, 297/873 is 11/9603.