GCF of 43/131, 66/323, 664/294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/131, 66/323, 664/294 i.e 1/12440022 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/131, 66/323, 664/294.
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 43/131,66/323,664/294?
Given fractions are 43/131,66/323,664/294
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 43/131,66/323,664/294, numerators are 43,66,664
Denominators are 131,323,294
The GCF of 43,66,664 is 1 .
LCM of 131,323,294 is 12440022.
The greatest common factor of 43/131,66/323,664/294 = [GCF of 43,66,664]/[LCM of 131,323,294]= 1/12440022
Therefore, the GCF of 43/131,66/323,664/294 is 1/12440022.
To find the highest common factor of 43,66,664, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The HCF of 43,66,664 is 1.
Lets's calculate GCF of 43,66,664
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,66,664 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 66
:1,2,3,6,11,22,33,66
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Greatest Common Factor
We found the factors 43,66,664 . The biggest common factor number is the GCF number.
So the greatest common factor 43,66,664 is 1.
Lets's calculate LCM of 131,323,294
Given numbers has no common factors except 1. So, there LCM is their product i.e 12440022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12440022
Therefore, the GCF of Fractions 43/131,66/323,664/294 is 1/12440022
Least Common Multiple of 131,323,294 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 131,323,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,323,294) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,323,294) x common factors =1 x 1 = 1
LCM(131,323,294) = ( 131 × 323 × 294 ) / 1
LCM(131,323,294) = 12440022 / 1
LCM(131,323,294) = 12440022
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FAQs on GCF of Fractions of 43/131, 66/323, 664/294
1. What is the HCF of 43,66,664?
The HCF of 43,66,664 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 43/131, 66/323, 664/294?
Answer: GCF of Numerators as per given numbers 43/131, 66/323, 664/294 is
GCF of Numerators i.e. for 43,66,664 is 1
LCM of denominators i.e. for 131,323,294 is 12440022.
Thus, GCF of Fractions is 1/12440022.Finally, GCF of Fractions for 43/131, 66/323, 664/294 is 1/12440022.