GCF of 8116/283, 9835/873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8116/283, 9835/873 i.e 1/247059 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8116/283, 9835/873.
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 8116/283,9835/873?
Given fractions are 8116/283,9835/873
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 8116/283,9835/873, numerators are 8116,9835
Denominators are 283,873
The GCF of 8116,9835 is 1 .
LCM of 283,873 is 247059.
The greatest common factor of 8116/283,9835/873 = [GCF of 8116,9835]/[LCM of 283,873]= 1/247059
Therefore, the GCF of 8116/283,9835/873 is 1/247059.
To find the highest common factor of 8116,9835, we have to find the factors of both numbers and list the highest common factor.
The factors of 8116 are 1, 2, 4, 2029, 4058, 8116
The factors of 9835 are 1, 5, 7, 35, 281, 1405, 1967, 9835
The HCF of 8116,9835 is 1.
Lets's calculate GCF of 8116,9835
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8116,9835 By Matching Biggest Common Factor Method
Now, list down the factors of 8116
:1,2,4,2029,4058,8116
Now, list down the factors of 9835
:1,5,7,35,281,1405,1967,9835
Greatest Common Factor
We found the factors 8116,9835 . The biggest common factor number is the GCF number.
So the greatest common factor 8116,9835 is 1.
Lets's calculate LCM of 283,873
Given numbers has no common factors except 1. So, there LCM is their product i.e 247059
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247059
Therefore, the GCF of Fractions 8116/283,9835/873 is 1/247059
Least Common Multiple of 283,873 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 283,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,873) x common factors =1 x 1 = 1
LCM(283,873) = ( 283 × 873 ) / 1
LCM(283,873) = 247059 / 1
LCM(283,873) = 247059
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FAQs on GCF of Fractions of 8116/283, 9835/873
1. What is the HCF of 8116,9835?
The HCF of 8116,9835 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 8116/283, 9835/873?
Answer: GCF of Numerators as per given numbers 8116/283, 9835/873 is
GCF of Numerators i.e. for 8116,9835 is 1
LCM of denominators i.e. for 283,873 is 247059.
Thus, GCF of Fractions is 1/247059.Finally, GCF of Fractions for 8116/283, 9835/873 is 1/247059.