GCF of 5133/261, 8967/6033
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5133/261, 8967/6033 i.e 3/524871 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5133/261, 8967/6033.
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 5133/261,8967/6033?
Given fractions are 5133/261,8967/6033
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 5133/261,8967/6033, numerators are 5133,8967
Denominators are 261,6033
The GCF of 5133,8967 is 3 .
LCM of 261,6033 is 524871.
The greatest common factor of 5133/261,8967/6033 = [GCF of 5133,8967]/[LCM of 261,6033]= 3/524871
Therefore, the GCF of 5133/261,8967/6033 is 3/524871.
To find the highest common factor of 5133,8967, we have to find the factors of both numbers and list the highest common factor.
The factors of 5133 are 1, 3, 29, 59, 87, 177, 1711, 5133
The factors of 8967 are 1, 3, 7, 21, 49, 61, 147, 183, 427, 1281, 2989, 8967
The HCF of 5133,8967 is 3.
Lets's calculate GCF of 5133,8967
| 3 | 5133, 8967 |
| 1711, 2989 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5133,8967 By Matching Biggest Common Factor Method
Now, list down the factors of 5133
:1,3,29,59,87,177,1711,5133
Now, list down the factors of 8967
:1,3,7,21,49,61,147,183,427,1281,2989,8967
Greatest Common Factor
We found the factors 5133,8967 . The biggest common factor number is the GCF number.
So the greatest common factor 5133,8967 is 3.
Lets's calculate LCM of 261,6033
| 3 | 261, 6033 |
| 87, 2011 |
∴ So the LCM of the given numbers is 3 x 87 x 2011 = 524871
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/524871
Therefore, the GCF of Fractions 5133/261,8967/6033 is 3/524871
Least Common Multiple of 261,6033 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 261,6033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,6033) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(261,6033) x common factors =3 x 1 = 3
LCM(261,6033) = ( 261 × 6033 ) / 3
LCM(261,6033) = 1574613 / 3
LCM(261,6033) = 524871
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5133/261, 8967/6033
1. What is the HCF of 5133,8967?
The HCF of 5133,8967 is 3
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 5133/261, 8967/6033?
Answer: GCF of Numerators as per given numbers 5133/261, 8967/6033 is
GCF of Numerators i.e. for 5133,8967 is 3
LCM of denominators i.e. for 261,6033 is 524871.
Thus, GCF of Fractions is 3/524871.Finally, GCF of Fractions for 5133/261, 8967/6033 is 3/524871.