GCF of 8796/361, 9923/5026
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8796/361, 9923/5026 i.e 1/1814386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8796/361, 9923/5026.
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 8796/361,9923/5026?
Given fractions are 8796/361,9923/5026
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 8796/361,9923/5026, numerators are 8796,9923
Denominators are 361,5026
The GCF of 8796,9923 is 1 .
LCM of 361,5026 is 1814386.
The greatest common factor of 8796/361,9923/5026 = [GCF of 8796,9923]/[LCM of 361,5026]= 1/1814386
Therefore, the GCF of 8796/361,9923/5026 is 1/1814386.
To find the highest common factor of 8796,9923, we have to find the factors of both numbers and list the highest common factor.
The factors of 8796 are 1, 2, 3, 4, 6, 12, 733, 1466, 2199, 2932, 4398, 8796
The factors of 9923 are 1, 9923
The HCF of 8796,9923 is 1.
Lets's calculate GCF of 8796,9923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8796,9923 By Matching Biggest Common Factor Method
Now, list down the factors of 8796
:1,2,3,4,6,12,733,1466,2199,2932,4398,8796
Now, list down the factors of 9923
:1,9923
Greatest Common Factor
We found the factors 8796,9923 . The biggest common factor number is the GCF number.
So the greatest common factor 8796,9923 is 1.
Lets's calculate LCM of 361,5026
Given numbers has no common factors except 1. So, there LCM is their product i.e 1814386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1814386
Therefore, the GCF of Fractions 8796/361,9923/5026 is 1/1814386
Least Common Multiple of 361,5026 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 361,5026 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,5026) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,5026) x common factors =1 x 1 = 1
LCM(361,5026) = ( 361 × 5026 ) / 1
LCM(361,5026) = 1814386 / 1
LCM(361,5026) = 1814386
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FAQs on GCF of Fractions of 8796/361, 9923/5026
1. What is the HCF of 8796,9923?
The HCF of 8796,9923 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 8796/361, 9923/5026?
Answer: GCF of Numerators as per given numbers 8796/361, 9923/5026 is
GCF of Numerators i.e. for 8796,9923 is 1
LCM of denominators i.e. for 361,5026 is 1814386.
Thus, GCF of Fractions is 1/1814386.Finally, GCF of Fractions for 8796/361, 9923/5026 is 1/1814386.