GCF of 7411/817, 9884/4514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7411/817, 9884/4514 i.e 1/3687938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7411/817, 9884/4514.
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 7411/817,9884/4514?
Given fractions are 7411/817,9884/4514
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 7411/817,9884/4514, numerators are 7411,9884
Denominators are 817,4514
The GCF of 7411,9884 is 1 .
LCM of 817,4514 is 3687938.
The greatest common factor of 7411/817,9884/4514 = [GCF of 7411,9884]/[LCM of 817,4514]= 1/3687938
Therefore, the GCF of 7411/817,9884/4514 is 1/3687938.
To find the highest common factor of 7411,9884, we have to find the factors of both numbers and list the highest common factor.
The factors of 7411 are 1, 7411
The factors of 9884 are 1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884
The HCF of 7411,9884 is 1.
Lets's calculate GCF of 7411,9884
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7411,9884 By Matching Biggest Common Factor Method
Now, list down the factors of 7411
:1,7411
Now, list down the factors of 9884
:1,2,4,7,14,28,353,706,1412,2471,4942,9884
Greatest Common Factor
We found the factors 7411,9884 . The biggest common factor number is the GCF number.
So the greatest common factor 7411,9884 is 1.
Lets's calculate LCM of 817,4514
Given numbers has no common factors except 1. So, there LCM is their product i.e 3687938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3687938
Therefore, the GCF of Fractions 7411/817,9884/4514 is 1/3687938
Least Common Multiple of 817,4514 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 817,4514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,4514) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,4514) x common factors =1 x 1 = 1
LCM(817,4514) = ( 817 × 4514 ) / 1
LCM(817,4514) = 3687938 / 1
LCM(817,4514) = 3687938
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FAQs on GCF of Fractions of 7411/817, 9884/4514
1. What is the HCF of 7411,9884?
The HCF of 7411,9884 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 7411/817, 9884/4514?
Answer: GCF of Numerators as per given numbers 7411/817, 9884/4514 is
GCF of Numerators i.e. for 7411,9884 is 1
LCM of denominators i.e. for 817,4514 is 3687938.
Thus, GCF of Fractions is 1/3687938.Finally, GCF of Fractions for 7411/817, 9884/4514 is 1/3687938.