GCF of 2741/995, 4241/1283
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2741/995, 4241/1283 i.e 1/1276585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2741/995, 4241/1283.
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 2741/995,4241/1283?
Given fractions are 2741/995,4241/1283
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 2741/995,4241/1283, numerators are 2741,4241
Denominators are 995,1283
The GCF of 2741,4241 is 1 .
LCM of 995,1283 is 1276585.
The greatest common factor of 2741/995,4241/1283 = [GCF of 2741,4241]/[LCM of 995,1283]= 1/1276585
Therefore, the GCF of 2741/995,4241/1283 is 1/1276585.
To find the highest common factor of 2741,4241, we have to find the factors of both numbers and list the highest common factor.
The factors of 2741 are 1, 2741
The factors of 4241 are 1, 4241
The HCF of 2741,4241 is 1.
Lets's calculate GCF of 2741,4241
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2741,4241 By Matching Biggest Common Factor Method
Now, list down the factors of 2741
:1,2741
Now, list down the factors of 4241
:1,4241
Greatest Common Factor
We found the factors 2741,4241 . The biggest common factor number is the GCF number.
So the greatest common factor 2741,4241 is 1.
Lets's calculate LCM of 995,1283
Given numbers has no common factors except 1. So, there LCM is their product i.e 1276585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1276585
Therefore, the GCF of Fractions 2741/995,4241/1283 is 1/1276585
Least Common Multiple of 995,1283 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 995,1283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,1283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,1283) x common factors =1 x 1 = 1
LCM(995,1283) = ( 995 × 1283 ) / 1
LCM(995,1283) = 1276585 / 1
LCM(995,1283) = 1276585
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FAQs on GCF of Fractions of 2741/995, 4241/1283
1. What is the HCF of 2741,4241?
The HCF of 2741,4241 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 2741/995, 4241/1283?
Answer: GCF of Numerators as per given numbers 2741/995, 4241/1283 is
GCF of Numerators i.e. for 2741,4241 is 1
LCM of denominators i.e. for 995,1283 is 1276585.
Thus, GCF of Fractions is 1/1276585.Finally, GCF of Fractions for 2741/995, 4241/1283 is 1/1276585.