GCF of 92/329, 539/239, 523/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/329, 539/239, 523/144 i.e 1/11322864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/329, 539/239, 523/144.
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 92/329,539/239,523/144?
Given fractions are 92/329,539/239,523/144
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 92/329,539/239,523/144, numerators are 92,539,523
Denominators are 329,239,144
The GCF of 92,539,523 is 1 .
LCM of 329,239,144 is 11322864.
The greatest common factor of 92/329,539/239,523/144 = [GCF of 92,539,523]/[LCM of 329,239,144]= 1/11322864
Therefore, the GCF of 92/329,539/239,523/144 is 1/11322864.
To find the highest common factor of 92,539,523, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 539 are 1, 7, 11, 49, 77, 539
The factors of 523 are 1, 523
The HCF of 92,539,523 is 1.
Lets's calculate GCF of 92,539,523
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 92,539,523 By Matching Biggest Common Factor Method
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 539
:1,7,11,49,77,539
Now, list down the factors of 523
:1,523
Greatest Common Factor
We found the factors 92,539,523 . The biggest common factor number is the GCF number.
So the greatest common factor 92,539,523 is 1.
Lets's calculate LCM of 329,239,144
Given numbers has no common factors except 1. So, there LCM is their product i.e 11322864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11322864
Therefore, the GCF of Fractions 92/329,539/239,523/144 is 1/11322864
Least Common Multiple of 329,239,144 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 329,239,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,239,144) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,239,144) x common factors =1 x 1 = 1
LCM(329,239,144) = ( 329 × 239 × 144 ) / 1
LCM(329,239,144) = 11322864 / 1
LCM(329,239,144) = 11322864
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FAQs on GCF of Fractions of 92/329, 539/239, 523/144
1. What is the HCF of 92,539,523?
The HCF of 92,539,523 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 92/329, 539/239, 523/144?
Answer: GCF of Numerators as per given numbers 92/329, 539/239, 523/144 is
GCF of Numerators i.e. for 92,539,523 is 1
LCM of denominators i.e. for 329,239,144 is 11322864.
Thus, GCF of Fractions is 1/11322864.Finally, GCF of Fractions for 92/329, 539/239, 523/144 is 1/11322864.