GCF of 966/199, 749/655, 461/366
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 966/199, 749/655, 461/366 i.e 1/47706270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 966/199, 749/655, 461/366.
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 966/199,749/655,461/366?
Given fractions are 966/199,749/655,461/366
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 966/199,749/655,461/366, numerators are 966,749,461
Denominators are 199,655,366
The GCF of 966,749,461 is 1 .
LCM of 199,655,366 is 47706270.
The greatest common factor of 966/199,749/655,461/366 = [GCF of 966,749,461]/[LCM of 199,655,366]= 1/47706270
Therefore, the GCF of 966/199,749/655,461/366 is 1/47706270.
To find the highest common factor of 966,749,461, 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 749 are 1, 7, 107, 749
The factors of 461 are 1, 461
The HCF of 966,749,461 is 1.
Lets's calculate GCF of 966,749,461
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 966,749,461 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 749
:1,7,107,749
Now, list down the factors of 461
:1,461
Greatest Common Factor
We found the factors 966,749,461 . The biggest common factor number is the GCF number.
So the greatest common factor 966,749,461 is 1.
Lets's calculate LCM of 199,655,366
Given numbers has no common factors except 1. So, there LCM is their product i.e 47706270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47706270
Therefore, the GCF of Fractions 966/199,749/655,461/366 is 1/47706270
Least Common Multiple of 199,655,366 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 199,655,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,655,366) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,655,366) x common factors =1 x 1 = 1
LCM(199,655,366) = ( 199 × 655 × 366 ) / 1
LCM(199,655,366) = 47706270 / 1
LCM(199,655,366) = 47706270
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FAQs on GCF of Fractions of 966/199, 749/655, 461/366
1. What is the HCF of 966,749,461?
The HCF of 966,749,461 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 966/199, 749/655, 461/366?
Answer: GCF of Numerators as per given numbers 966/199, 749/655, 461/366 is
GCF of Numerators i.e. for 966,749,461 is 1
LCM of denominators i.e. for 199,655,366 is 47706270.
Thus, GCF of Fractions is 1/47706270.Finally, GCF of Fractions for 966/199, 749/655, 461/366 is 1/47706270.