GCF of 264/75, 213/1833
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 264/75, 213/1833 i.e 3/45825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 264/75, 213/1833.
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 264/75,213/1833?
Given fractions are 264/75,213/1833
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 264/75,213/1833, numerators are 264,213
Denominators are 75,1833
The GCF of 264,213 is 3 .
LCM of 75,1833 is 45825.
The greatest common factor of 264/75,213/1833 = [GCF of 264,213]/[LCM of 75,1833]= 3/45825
Therefore, the GCF of 264/75,213/1833 is 3/45825.
To find the highest common factor of 264,213, we have to find the factors of both numbers and list the highest common factor.
The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
The factors of 213 are 1, 3, 71, 213
The HCF of 264,213 is 3.
Lets's calculate GCF of 264,213
| 3 | 264, 213 |
| 88, 71 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 264,213 By Matching Biggest Common Factor Method
Now, list down the factors of 264
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Now, list down the factors of 213
:1,3,71,213
Greatest Common Factor
We found the factors 264,213 . The biggest common factor number is the GCF number.
So the greatest common factor 264,213 is 3.
Lets's calculate LCM of 75,1833
| 3 | 75, 1833 |
| 25, 611 |
∴ So the LCM of the given numbers is 3 x 25 x 611 = 45825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/45825
Therefore, the GCF of Fractions 264/75,213/1833 is 3/45825
Least Common Multiple of 75,1833 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 75,1833 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,1833) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,1833) x common factors =3 x 1 = 3
LCM(75,1833) = ( 75 × 1833 ) / 3
LCM(75,1833) = 137475 / 3
LCM(75,1833) = 45825
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 264/75, 213/1833
1. What is the HCF of 264,213?
The HCF of 264,213 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 264/75, 213/1833?
Answer: GCF of Numerators as per given numbers 264/75, 213/1833 is
GCF of Numerators i.e. for 264,213 is 3
LCM of denominators i.e. for 75,1833 is 45825.
Thus, GCF of Fractions is 3/45825.Finally, GCF of Fractions for 264/75, 213/1833 is 3/45825.