GCF of 92/533, 27/349, 343/535
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/533, 27/349, 343/535 i.e 1/99519095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/533, 27/349, 343/535.
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 92/533,27/349,343/535?
Given fractions are 92/533,27/349,343/535
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 92/533,27/349,343/535, numerators are 92,27,343
Denominators are 533,349,535
The GCF of 92,27,343 is 1 .
LCM of 533,349,535 is 99519095.
The greatest common factor of 92/533,27/349,343/535 = [GCF of 92,27,343]/[LCM of 533,349,535]= 1/99519095
Therefore, the GCF of 92/533,27/349,343/535 is 1/99519095.
To find the highest common factor of 92,27,343, 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 27 are 1, 3, 9, 27
The factors of 343 are 1, 7, 49, 343
The HCF of 92,27,343 is 1.
Lets's calculate GCF of 92,27,343
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 92,27,343 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 27
:1,3,9,27
Now, list down the factors of 343
:1,7,49,343
Greatest Common Factor
We found the factors 92,27,343 . The biggest common factor number is the GCF number.
So the greatest common factor 92,27,343 is 1.
Lets's calculate LCM of 533,349,535
Given numbers has no common factors except 1. So, there LCM is their product i.e 99519095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99519095
Therefore, the GCF of Fractions 92/533,27/349,343/535 is 1/99519095
Least Common Multiple of 533,349,535 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 533,349,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,349,535) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,349,535) x common factors =1 x 1 = 1
LCM(533,349,535) = ( 533 × 349 × 535 ) / 1
LCM(533,349,535) = 99519095 / 1
LCM(533,349,535) = 99519095
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FAQs on GCF of Fractions of 92/533, 27/349, 343/535
1. What is the HCF of 92,27,343?
The HCF of 92,27,343 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 92/533, 27/349, 343/535?
Answer: GCF of Numerators as per given numbers 92/533, 27/349, 343/535 is
GCF of Numerators i.e. for 92,27,343 is 1
LCM of denominators i.e. for 533,349,535 is 99519095.
Thus, GCF of Fractions is 1/99519095.Finally, GCF of Fractions for 92/533, 27/349, 343/535 is 1/99519095.