GCF of 9962/243, 1731/2096
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9962/243, 1731/2096 i.e 1/509328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9962/243, 1731/2096.
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 9962/243,1731/2096?
Given fractions are 9962/243,1731/2096
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 9962/243,1731/2096, numerators are 9962,1731
Denominators are 243,2096
The GCF of 9962,1731 is 1 .
LCM of 243,2096 is 509328.
The greatest common factor of 9962/243,1731/2096 = [GCF of 9962,1731]/[LCM of 243,2096]= 1/509328
Therefore, the GCF of 9962/243,1731/2096 is 1/509328.
To find the highest common factor of 9962,1731, we have to find the factors of both numbers and list the highest common factor.
The factors of 9962 are 1, 2, 17, 34, 293, 586, 4981, 9962
The factors of 1731 are 1, 3, 577, 1731
The HCF of 9962,1731 is 1.
Lets's calculate GCF of 9962,1731
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9962,1731 By Matching Biggest Common Factor Method
Now, list down the factors of 9962
:1,2,17,34,293,586,4981,9962
Now, list down the factors of 1731
:1,3,577,1731
Greatest Common Factor
We found the factors 9962,1731 . The biggest common factor number is the GCF number.
So the greatest common factor 9962,1731 is 1.
Lets's calculate LCM of 243,2096
Given numbers has no common factors except 1. So, there LCM is their product i.e 509328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/509328
Therefore, the GCF of Fractions 9962/243,1731/2096 is 1/509328
Least Common Multiple of 243,2096 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 243,2096 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,2096) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,2096) x common factors =1 x 1 = 1
LCM(243,2096) = ( 243 × 2096 ) / 1
LCM(243,2096) = 509328 / 1
LCM(243,2096) = 509328
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FAQs on GCF of Fractions of 9962/243, 1731/2096
1. What is the HCF of 9962,1731?
The HCF of 9962,1731 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 9962/243, 1731/2096?
Answer: GCF of Numerators as per given numbers 9962/243, 1731/2096 is
GCF of Numerators i.e. for 9962,1731 is 1
LCM of denominators i.e. for 243,2096 is 509328.
Thus, GCF of Fractions is 1/509328.Finally, GCF of Fractions for 9962/243, 1731/2096 is 1/509328.