GCF of 993/429, 290/365, 726/571
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 993/429, 290/365, 726/571 i.e 1/89410035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 993/429, 290/365, 726/571.
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 993/429,290/365,726/571?
Given fractions are 993/429,290/365,726/571
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 993/429,290/365,726/571, numerators are 993,290,726
Denominators are 429,365,571
The GCF of 993,290,726 is 1 .
LCM of 429,365,571 is 89410035.
The greatest common factor of 993/429,290/365,726/571 = [GCF of 993,290,726]/[LCM of 429,365,571]= 1/89410035
Therefore, the GCF of 993/429,290/365,726/571 is 1/89410035.
To find the highest common factor of 993,290,726, we have to find the factors of both numbers and list the highest common factor.
The factors of 993 are 1, 3, 331, 993
The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290
The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
The HCF of 993,290,726 is 1.
Lets's calculate GCF of 993,290,726
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 993,290,726 By Matching Biggest Common Factor Method
Now, list down the factors of 993
:1,3,331,993
Now, list down the factors of 290
:1,2,5,10,29,58,145,290
Now, list down the factors of 726
:1,2,3,6,11,22,33,66,121,242,363,726
Greatest Common Factor
We found the factors 993,290,726 . The biggest common factor number is the GCF number.
So the greatest common factor 993,290,726 is 1.
Lets's calculate LCM of 429,365,571
Given numbers has no common factors except 1. So, there LCM is their product i.e 89410035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89410035
Therefore, the GCF of Fractions 993/429,290/365,726/571 is 1/89410035
Least Common Multiple of 429,365,571 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 429,365,571 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,365,571) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,365,571) x common factors =1 x 1 = 1
LCM(429,365,571) = ( 429 × 365 × 571 ) / 1
LCM(429,365,571) = 89410035 / 1
LCM(429,365,571) = 89410035
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FAQs on GCF of Fractions of 993/429, 290/365, 726/571
1. What is the HCF of 993,290,726?
The HCF of 993,290,726 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 993/429, 290/365, 726/571?
Answer: GCF of Numerators as per given numbers 993/429, 290/365, 726/571 is
GCF of Numerators i.e. for 993,290,726 is 1
LCM of denominators i.e. for 429,365,571 is 89410035.
Thus, GCF of Fractions is 1/89410035.Finally, GCF of Fractions for 993/429, 290/365, 726/571 is 1/89410035.