GCF of 966/273, 397/199, 811/346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 966/273, 397/199, 811/346 i.e 1/18797142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 966/273, 397/199, 811/346.
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 966/273,397/199,811/346?
Given fractions are 966/273,397/199,811/346
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 966/273,397/199,811/346, numerators are 966,397,811
Denominators are 273,199,346
The GCF of 966,397,811 is 1 .
LCM of 273,199,346 is 18797142.
The greatest common factor of 966/273,397/199,811/346 = [GCF of 966,397,811]/[LCM of 273,199,346]= 1/18797142
Therefore, the GCF of 966/273,397/199,811/346 is 1/18797142.
To find the highest common factor of 966,397,811, we have to find the factors of both numbers and list the highest common factor.
The factors of 966 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
The factors of 397 are 1, 397
The factors of 811 are 1, 811
The HCF of 966,397,811 is 1.
Lets's calculate GCF of 966,397,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 966,397,811 By Matching Biggest Common Factor Method
Now, list down the factors of 966
:1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Now, list down the factors of 397
:1,397
Now, list down the factors of 811
:1,811
Greatest Common Factor
We found the factors 966,397,811 . The biggest common factor number is the GCF number.
So the greatest common factor 966,397,811 is 1.
Lets's calculate LCM of 273,199,346
Given numbers has no common factors except 1. So, there LCM is their product i.e 18797142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18797142
Therefore, the GCF of Fractions 966/273,397/199,811/346 is 1/18797142
Least Common Multiple of 273,199,346 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 273,199,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,199,346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(273,199,346) x common factors =1 x 1 = 1
LCM(273,199,346) = ( 273 × 199 × 346 ) / 1
LCM(273,199,346) = 18797142 / 1
LCM(273,199,346) = 18797142
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FAQs on GCF of Fractions of 966/273, 397/199, 811/346
1. What is the HCF of 966,397,811?
The HCF of 966,397,811 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 966/273, 397/199, 811/346?
Answer: GCF of Numerators as per given numbers 966/273, 397/199, 811/346 is
GCF of Numerators i.e. for 966,397,811 is 1
LCM of denominators i.e. for 273,199,346 is 18797142.
Thus, GCF of Fractions is 1/18797142.Finally, GCF of Fractions for 966/273, 397/199, 811/346 is 1/18797142.