GCF of 2341/589, 7306/4407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2341/589, 7306/4407 i.e 1/2595723 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2341/589, 7306/4407.
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 2341/589,7306/4407?
Given fractions are 2341/589,7306/4407
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 2341/589,7306/4407, numerators are 2341,7306
Denominators are 589,4407
The GCF of 2341,7306 is 1 .
LCM of 589,4407 is 2595723.
The greatest common factor of 2341/589,7306/4407 = [GCF of 2341,7306]/[LCM of 589,4407]= 1/2595723
Therefore, the GCF of 2341/589,7306/4407 is 1/2595723.
To find the highest common factor of 2341,7306, we have to find the factors of both numbers and list the highest common factor.
The factors of 2341 are 1, 2341
The factors of 7306 are 1, 2, 13, 26, 281, 562, 3653, 7306
The HCF of 2341,7306 is 1.
Lets's calculate GCF of 2341,7306
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2341,7306 By Matching Biggest Common Factor Method
Now, list down the factors of 2341
:1,2341
Now, list down the factors of 7306
:1,2,13,26,281,562,3653,7306
Greatest Common Factor
We found the factors 2341,7306 . The biggest common factor number is the GCF number.
So the greatest common factor 2341,7306 is 1.
Lets's calculate LCM of 589,4407
Given numbers has no common factors except 1. So, there LCM is their product i.e 2595723
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2595723
Therefore, the GCF of Fractions 2341/589,7306/4407 is 1/2595723
Least Common Multiple of 589,4407 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 589,4407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,4407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(589,4407) x common factors =1 x 1 = 1
LCM(589,4407) = ( 589 × 4407 ) / 1
LCM(589,4407) = 2595723 / 1
LCM(589,4407) = 2595723
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FAQs on GCF of Fractions of 2341/589, 7306/4407
1. What is the HCF of 2341,7306?
The HCF of 2341,7306 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 2341/589, 7306/4407?
Answer: GCF of Numerators as per given numbers 2341/589, 7306/4407 is
GCF of Numerators i.e. for 2341,7306 is 1
LCM of denominators i.e. for 589,4407 is 2595723.
Thus, GCF of Fractions is 1/2595723.Finally, GCF of Fractions for 2341/589, 7306/4407 is 1/2595723.