GCF of 9371/451, 4944/919
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9371/451, 4944/919 i.e 1/414469 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9371/451, 4944/919.
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 9371/451,4944/919?
Given fractions are 9371/451,4944/919
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 9371/451,4944/919, numerators are 9371,4944
Denominators are 451,919
The GCF of 9371,4944 is 1 .
LCM of 451,919 is 414469.
The greatest common factor of 9371/451,4944/919 = [GCF of 9371,4944]/[LCM of 451,919]= 1/414469
Therefore, the GCF of 9371/451,4944/919 is 1/414469.
To find the highest common factor of 9371,4944, we have to find the factors of both numbers and list the highest common factor.
The factors of 9371 are 1, 9371
The factors of 4944 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 4944
The HCF of 9371,4944 is 1.
Lets's calculate GCF of 9371,4944
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9371,4944 By Matching Biggest Common Factor Method
Now, list down the factors of 9371
:1,9371
Now, list down the factors of 4944
:1,2,3,4,6,8,12,16,24,48,103,206,309,412,618,824,1236,1648,2472,4944
Greatest Common Factor
We found the factors 9371,4944 . The biggest common factor number is the GCF number.
So the greatest common factor 9371,4944 is 1.
Lets's calculate LCM of 451,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 414469
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414469
Therefore, the GCF of Fractions 9371/451,4944/919 is 1/414469
Least Common Multiple of 451,919 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 451,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,919) x common factors =1 x 1 = 1
LCM(451,919) = ( 451 × 919 ) / 1
LCM(451,919) = 414469 / 1
LCM(451,919) = 414469
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FAQs on GCF of Fractions of 9371/451, 4944/919
1. What is the HCF of 9371,4944?
The HCF of 9371,4944 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 9371/451, 4944/919?
Answer: GCF of Numerators as per given numbers 9371/451, 4944/919 is
GCF of Numerators i.e. for 9371,4944 is 1
LCM of denominators i.e. for 451,919 is 414469.
Thus, GCF of Fractions is 1/414469.Finally, GCF of Fractions for 9371/451, 4944/919 is 1/414469.