GCF of 2284/823, 7945/3013
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2284/823, 7945/3013 i.e 1/2479699 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2284/823, 7945/3013.
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 2284/823,7945/3013?
Given fractions are 2284/823,7945/3013
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 2284/823,7945/3013, numerators are 2284,7945
Denominators are 823,3013
The GCF of 2284,7945 is 1 .
LCM of 823,3013 is 2479699.
The greatest common factor of 2284/823,7945/3013 = [GCF of 2284,7945]/[LCM of 823,3013]= 1/2479699
Therefore, the GCF of 2284/823,7945/3013 is 1/2479699.
To find the highest common factor of 2284,7945, we have to find the factors of both numbers and list the highest common factor.
The factors of 2284 are 1, 2, 4, 571, 1142, 2284
The factors of 7945 are 1, 5, 7, 35, 227, 1135, 1589, 7945
The HCF of 2284,7945 is 1.
Lets's calculate GCF of 2284,7945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2284,7945 By Matching Biggest Common Factor Method
Now, list down the factors of 2284
:1,2,4,571,1142,2284
Now, list down the factors of 7945
:1,5,7,35,227,1135,1589,7945
Greatest Common Factor
We found the factors 2284,7945 . The biggest common factor number is the GCF number.
So the greatest common factor 2284,7945 is 1.
Lets's calculate LCM of 823,3013
Given numbers has no common factors except 1. So, there LCM is their product i.e 2479699
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2479699
Therefore, the GCF of Fractions 2284/823,7945/3013 is 1/2479699
Least Common Multiple of 823,3013 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 823,3013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,3013) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,3013) x common factors =1 x 1 = 1
LCM(823,3013) = ( 823 × 3013 ) / 1
LCM(823,3013) = 2479699 / 1
LCM(823,3013) = 2479699
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FAQs on GCF of Fractions of 2284/823, 7945/3013
1. What is the HCF of 2284,7945?
The HCF of 2284,7945 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 2284/823, 7945/3013?
Answer: GCF of Numerators as per given numbers 2284/823, 7945/3013 is
GCF of Numerators i.e. for 2284,7945 is 1
LCM of denominators i.e. for 823,3013 is 2479699.
Thus, GCF of Fractions is 1/2479699.Finally, GCF of Fractions for 2284/823, 7945/3013 is 1/2479699.