GCF of 4265/805, 8119/7989
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4265/805, 8119/7989 i.e 1/6431145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4265/805, 8119/7989.
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 4265/805,8119/7989?
Given fractions are 4265/805,8119/7989
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 4265/805,8119/7989, numerators are 4265,8119
Denominators are 805,7989
The GCF of 4265,8119 is 1 .
LCM of 805,7989 is 6431145.
The greatest common factor of 4265/805,8119/7989 = [GCF of 4265,8119]/[LCM of 805,7989]= 1/6431145
Therefore, the GCF of 4265/805,8119/7989 is 1/6431145.
To find the highest common factor of 4265,8119, we have to find the factors of both numbers and list the highest common factor.
The factors of 4265 are 1, 5, 853, 4265
The factors of 8119 are 1, 23, 353, 8119
The HCF of 4265,8119 is 1.
Lets's calculate GCF of 4265,8119
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4265,8119 By Matching Biggest Common Factor Method
Now, list down the factors of 4265
:1,5,853,4265
Now, list down the factors of 8119
:1,23,353,8119
Greatest Common Factor
We found the factors 4265,8119 . The biggest common factor number is the GCF number.
So the greatest common factor 4265,8119 is 1.
Lets's calculate LCM of 805,7989
Given numbers has no common factors except 1. So, there LCM is their product i.e 6431145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6431145
Therefore, the GCF of Fractions 4265/805,8119/7989 is 1/6431145
Least Common Multiple of 805,7989 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 805,7989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,7989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,7989) x common factors =1 x 1 = 1
LCM(805,7989) = ( 805 × 7989 ) / 1
LCM(805,7989) = 6431145 / 1
LCM(805,7989) = 6431145
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FAQs on GCF of Fractions of 4265/805, 8119/7989
1. What is the HCF of 4265,8119?
The HCF of 4265,8119 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 4265/805, 8119/7989?
Answer: GCF of Numerators as per given numbers 4265/805, 8119/7989 is
GCF of Numerators i.e. for 4265,8119 is 1
LCM of denominators i.e. for 805,7989 is 6431145.
Thus, GCF of Fractions is 1/6431145.Finally, GCF of Fractions for 4265/805, 8119/7989 is 1/6431145.