GCF of 60/724, 82/769, 141/843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 60/724, 82/769, 141/843 i.e 1/469345308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/724, 82/769, 141/843.
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 60/724,82/769,141/843?
Given fractions are 60/724,82/769,141/843
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 60/724,82/769,141/843, numerators are 60,82,141
Denominators are 724,769,843
The GCF of 60,82,141 is 1 .
LCM of 724,769,843 is 469345308.
The greatest common factor of 60/724,82/769,141/843 = [GCF of 60,82,141]/[LCM of 724,769,843]= 1/469345308
Therefore, the GCF of 60/724,82/769,141/843 is 1/469345308.
To find the highest common factor of 60,82,141, we have to find the factors of both numbers and list the highest common factor.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 82 are 1, 2, 41, 82
The factors of 141 are 1, 3, 47, 141
The HCF of 60,82,141 is 1.
Lets's calculate GCF of 60,82,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 60,82,141 By Matching Biggest Common Factor Method
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 141
:1,3,47,141
Greatest Common Factor
We found the factors 60,82,141 . The biggest common factor number is the GCF number.
So the greatest common factor 60,82,141 is 1.
Lets's calculate LCM of 724,769,843
Given numbers has no common factors except 1. So, there LCM is their product i.e 469345308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/469345308
Therefore, the GCF of Fractions 60/724,82/769,141/843 is 1/469345308
Least Common Multiple of 724,769,843 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 724,769,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,769,843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,769,843) x common factors =1 x 1 = 1
LCM(724,769,843) = ( 724 × 769 × 843 ) / 1
LCM(724,769,843) = 469345308 / 1
LCM(724,769,843) = 469345308
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FAQs on GCF of Fractions of 60/724, 82/769, 141/843
1. What is the HCF of 60,82,141?
The HCF of 60,82,141 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 60/724, 82/769, 141/843?
Answer: GCF of Numerators as per given numbers 60/724, 82/769, 141/843 is
GCF of Numerators i.e. for 60,82,141 is 1
LCM of denominators i.e. for 724,769,843 is 469345308.
Thus, GCF of Fractions is 1/469345308.Finally, GCF of Fractions for 60/724, 82/769, 141/843 is 1/469345308.