GCF of 4213/574, 8809/656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4213/574, 8809/656 i.e 383/4592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4213/574, 8809/656.
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 4213/574,8809/656?
Given fractions are 4213/574,8809/656
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 4213/574,8809/656, numerators are 4213,8809
Denominators are 574,656
The GCF of 4213,8809 is 383 .
LCM of 574,656 is 4592.
The greatest common factor of 4213/574,8809/656 = [GCF of 4213,8809]/[LCM of 574,656]= 383/4592
Therefore, the GCF of 4213/574,8809/656 is 383/4592.
To find the highest common factor of 4213,8809, we have to find the factors of both numbers and list the highest common factor.
The factors of 4213 are 1, 11, 383, 4213
The factors of 8809 are 1, 23, 383, 8809
The HCF of 4213,8809 is 383.
Lets's calculate GCF of 4213,8809
| 383 | 4213, 8809 |
| 11, 23 |
∴ So the GCF of the given numbers is 383 = 383
Greatest Common Factor of 4213,8809 By Matching Biggest Common Factor Method
Now, list down the factors of 4213
:1,11,383,4213
Now, list down the factors of 8809
:1,23,383,8809
Greatest Common Factor
We found the factors 4213,8809 . The biggest common factor number is the GCF number.
So the greatest common factor 4213,8809 is 383.
Lets's calculate LCM of 574,656
| 2 | 574, 656 |
| 41 | 287, 328 |
| 7, 8 |
∴ So the LCM of the given numbers is 2 x 41 x 7 x 8 = 4592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 383/4592
Therefore, the GCF of Fractions 4213/574,8809/656 is 383/4592
Least Common Multiple of 574,656 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 574,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,656) = 82
common factors(in case of two or more numbers have common factors) = 1
GCF(574,656) x common factors =82 x 1 = 82
LCM(574,656) = ( 574 × 656 ) / 82
LCM(574,656) = 376544 / 82
LCM(574,656) = 4592
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4213/574, 8809/656
1. What is the HCF of 4213,8809?
The HCF of 4213,8809 is 383
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 4213/574, 8809/656?
Answer: GCF of Numerators as per given numbers 4213/574, 8809/656 is
GCF of Numerators i.e. for 4213,8809 is 383
LCM of denominators i.e. for 574,656 is 4592.
Thus, GCF of Fractions is 383/4592.Finally, GCF of Fractions for 4213/574, 8809/656 is 383/4592.