GCF of 9133/343, 2357/8161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9133/343, 2357/8161 i.e 1/2799223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9133/343, 2357/8161.
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 9133/343,2357/8161?
Given fractions are 9133/343,2357/8161
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 9133/343,2357/8161, numerators are 9133,2357
Denominators are 343,8161
The GCF of 9133,2357 is 1 .
LCM of 343,8161 is 2799223.
The greatest common factor of 9133/343,2357/8161 = [GCF of 9133,2357]/[LCM of 343,8161]= 1/2799223
Therefore, the GCF of 9133/343,2357/8161 is 1/2799223.
To find the highest common factor of 9133,2357, we have to find the factors of both numbers and list the highest common factor.
The factors of 9133 are 1, 9133
The factors of 2357 are 1, 2357
The HCF of 9133,2357 is 1.
Lets's calculate GCF of 9133,2357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9133,2357 By Matching Biggest Common Factor Method
Now, list down the factors of 9133
:1,9133
Now, list down the factors of 2357
:1,2357
Greatest Common Factor
We found the factors 9133,2357 . The biggest common factor number is the GCF number.
So the greatest common factor 9133,2357 is 1.
Lets's calculate LCM of 343,8161
Given numbers has no common factors except 1. So, there LCM is their product i.e 2799223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2799223
Therefore, the GCF of Fractions 9133/343,2357/8161 is 1/2799223
Least Common Multiple of 343,8161 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 343,8161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,8161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,8161) x common factors =1 x 1 = 1
LCM(343,8161) = ( 343 × 8161 ) / 1
LCM(343,8161) = 2799223 / 1
LCM(343,8161) = 2799223
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FAQs on GCF of Fractions of 9133/343, 2357/8161
1. What is the HCF of 9133,2357?
The HCF of 9133,2357 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 9133/343, 2357/8161?
Answer: GCF of Numerators as per given numbers 9133/343, 2357/8161 is
GCF of Numerators i.e. for 9133,2357 is 1
LCM of denominators i.e. for 343,8161 is 2799223.
Thus, GCF of Fractions is 1/2799223.Finally, GCF of Fractions for 9133/343, 2357/8161 is 1/2799223.