GCF of 2483/423, 8349/3043
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2483/423, 8349/3043 i.e 1/1287189 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2483/423, 8349/3043.
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 2483/423,8349/3043?
Given fractions are 2483/423,8349/3043
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 2483/423,8349/3043, numerators are 2483,8349
Denominators are 423,3043
The GCF of 2483,8349 is 1 .
LCM of 423,3043 is 1287189.
The greatest common factor of 2483/423,8349/3043 = [GCF of 2483,8349]/[LCM of 423,3043]= 1/1287189
Therefore, the GCF of 2483/423,8349/3043 is 1/1287189.
To find the highest common factor of 2483,8349, we have to find the factors of both numbers and list the highest common factor.
The factors of 2483 are 1, 13, 191, 2483
The factors of 8349 are 1, 3, 11, 23, 33, 69, 121, 253, 363, 759, 2783, 8349
The HCF of 2483,8349 is 1.
Lets's calculate GCF of 2483,8349
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2483,8349 By Matching Biggest Common Factor Method
Now, list down the factors of 2483
:1,13,191,2483
Now, list down the factors of 8349
:1,3,11,23,33,69,121,253,363,759,2783,8349
Greatest Common Factor
We found the factors 2483,8349 . The biggest common factor number is the GCF number.
So the greatest common factor 2483,8349 is 1.
Lets's calculate LCM of 423,3043
Given numbers has no common factors except 1. So, there LCM is their product i.e 1287189
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1287189
Therefore, the GCF of Fractions 2483/423,8349/3043 is 1/1287189
Least Common Multiple of 423,3043 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 423,3043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,3043) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(423,3043) x common factors =1 x 1 = 1
LCM(423,3043) = ( 423 × 3043 ) / 1
LCM(423,3043) = 1287189 / 1
LCM(423,3043) = 1287189
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FAQs on GCF of Fractions of 2483/423, 8349/3043
1. What is the HCF of 2483,8349?
The HCF of 2483,8349 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 2483/423, 8349/3043?
Answer: GCF of Numerators as per given numbers 2483/423, 8349/3043 is
GCF of Numerators i.e. for 2483,8349 is 1
LCM of denominators i.e. for 423,3043 is 1287189.
Thus, GCF of Fractions is 1/1287189.Finally, GCF of Fractions for 2483/423, 8349/3043 is 1/1287189.