GCF of 4109/175, 2741/1342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4109/175, 2741/1342 i.e 1/234850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4109/175, 2741/1342.
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 4109/175,2741/1342?
Given fractions are 4109/175,2741/1342
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 4109/175,2741/1342, numerators are 4109,2741
Denominators are 175,1342
The GCF of 4109,2741 is 1 .
LCM of 175,1342 is 234850.
The greatest common factor of 4109/175,2741/1342 = [GCF of 4109,2741]/[LCM of 175,1342]= 1/234850
Therefore, the GCF of 4109/175,2741/1342 is 1/234850.
To find the highest common factor of 4109,2741, we have to find the factors of both numbers and list the highest common factor.
The factors of 4109 are 1, 7, 587, 4109
The factors of 2741 are 1, 2741
The HCF of 4109,2741 is 1.
Lets's calculate GCF of 4109,2741
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4109,2741 By Matching Biggest Common Factor Method
Now, list down the factors of 4109
:1,7,587,4109
Now, list down the factors of 2741
:1,2741
Greatest Common Factor
We found the factors 4109,2741 . The biggest common factor number is the GCF number.
So the greatest common factor 4109,2741 is 1.
Lets's calculate LCM of 175,1342
Given numbers has no common factors except 1. So, there LCM is their product i.e 234850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/234850
Therefore, the GCF of Fractions 4109/175,2741/1342 is 1/234850
Least Common Multiple of 175,1342 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 175,1342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,1342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,1342) x common factors =1 x 1 = 1
LCM(175,1342) = ( 175 × 1342 ) / 1
LCM(175,1342) = 234850 / 1
LCM(175,1342) = 234850
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FAQs on GCF of Fractions of 4109/175, 2741/1342
1. What is the HCF of 4109,2741?
The HCF of 4109,2741 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 4109/175, 2741/1342?
Answer: GCF of Numerators as per given numbers 4109/175, 2741/1342 is
GCF of Numerators i.e. for 4109,2741 is 1
LCM of denominators i.e. for 175,1342 is 234850.
Thus, GCF of Fractions is 1/234850.Finally, GCF of Fractions for 4109/175, 2741/1342 is 1/234850.