GCF of 2339/173, 9097/3035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2339/173, 9097/3035 i.e 1/525055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2339/173, 9097/3035.
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 2339/173,9097/3035?
Given fractions are 2339/173,9097/3035
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 2339/173,9097/3035, numerators are 2339,9097
Denominators are 173,3035
The GCF of 2339,9097 is 1 .
LCM of 173,3035 is 525055.
The greatest common factor of 2339/173,9097/3035 = [GCF of 2339,9097]/[LCM of 173,3035]= 1/525055
Therefore, the GCF of 2339/173,9097/3035 is 1/525055.
To find the highest common factor of 2339,9097, we have to find the factors of both numbers and list the highest common factor.
The factors of 2339 are 1, 2339
The factors of 9097 are 1, 11, 827, 9097
The HCF of 2339,9097 is 1.
Lets's calculate GCF of 2339,9097
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2339,9097 By Matching Biggest Common Factor Method
Now, list down the factors of 2339
:1,2339
Now, list down the factors of 9097
:1,11,827,9097
Greatest Common Factor
We found the factors 2339,9097 . The biggest common factor number is the GCF number.
So the greatest common factor 2339,9097 is 1.
Lets's calculate LCM of 173,3035
Given numbers has no common factors except 1. So, there LCM is their product i.e 525055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/525055
Therefore, the GCF of Fractions 2339/173,9097/3035 is 1/525055
Least Common Multiple of 173,3035 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 173,3035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,3035) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,3035) x common factors =1 x 1 = 1
LCM(173,3035) = ( 173 × 3035 ) / 1
LCM(173,3035) = 525055 / 1
LCM(173,3035) = 525055
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FAQs on GCF of Fractions of 2339/173, 9097/3035
1. What is the HCF of 2339,9097?
The HCF of 2339,9097 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 2339/173, 9097/3035?
Answer: GCF of Numerators as per given numbers 2339/173, 9097/3035 is
GCF of Numerators i.e. for 2339,9097 is 1
LCM of denominators i.e. for 173,3035 is 525055.
Thus, GCF of Fractions is 1/525055.Finally, GCF of Fractions for 2339/173, 9097/3035 is 1/525055.