GCF of 8243/574, 7483/2862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8243/574, 7483/2862 i.e 1/821394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8243/574, 7483/2862.
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 8243/574,7483/2862?
Given fractions are 8243/574,7483/2862
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 8243/574,7483/2862, numerators are 8243,7483
Denominators are 574,2862
The GCF of 8243,7483 is 1 .
LCM of 574,2862 is 821394.
The greatest common factor of 8243/574,7483/2862 = [GCF of 8243,7483]/[LCM of 574,2862]= 1/821394
Therefore, the GCF of 8243/574,7483/2862 is 1/821394.
To find the highest common factor of 8243,7483, we have to find the factors of both numbers and list the highest common factor.
The factors of 8243 are 1, 8243
The factors of 7483 are 1, 7, 1069, 7483
The HCF of 8243,7483 is 1.
Lets's calculate GCF of 8243,7483
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8243,7483 By Matching Biggest Common Factor Method
Now, list down the factors of 8243
:1,8243
Now, list down the factors of 7483
:1,7,1069,7483
Greatest Common Factor
We found the factors 8243,7483 . The biggest common factor number is the GCF number.
So the greatest common factor 8243,7483 is 1.
Lets's calculate LCM of 574,2862
| 2 | 574, 2862 |
| 287, 1431 |
∴ So the LCM of the given numbers is 2 x 287 x 1431 = 821394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/821394
Therefore, the GCF of Fractions 8243/574,7483/2862 is 1/821394
Least Common Multiple of 574,2862 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 574,2862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,2862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,2862) x common factors =2 x 1 = 2
LCM(574,2862) = ( 574 × 2862 ) / 2
LCM(574,2862) = 1642788 / 2
LCM(574,2862) = 821394
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8243/574, 7483/2862
1. What is the HCF of 8243,7483?
The HCF of 8243,7483 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 8243/574, 7483/2862?
Answer: GCF of Numerators as per given numbers 8243/574, 7483/2862 is
GCF of Numerators i.e. for 8243,7483 is 1
LCM of denominators i.e. for 574,2862 is 821394.
Thus, GCF of Fractions is 1/821394.Finally, GCF of Fractions for 8243/574, 7483/2862 is 1/821394.