GCF of 9239/539, 9016/3862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9239/539, 9016/3862 i.e 1/2081618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9239/539, 9016/3862.
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 9239/539,9016/3862?
Given fractions are 9239/539,9016/3862
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 9239/539,9016/3862, numerators are 9239,9016
Denominators are 539,3862
The GCF of 9239,9016 is 1 .
LCM of 539,3862 is 2081618.
The greatest common factor of 9239/539,9016/3862 = [GCF of 9239,9016]/[LCM of 539,3862]= 1/2081618
Therefore, the GCF of 9239/539,9016/3862 is 1/2081618.
To find the highest common factor of 9239,9016, we have to find the factors of both numbers and list the highest common factor.
The factors of 9239 are 1, 9239
The factors of 9016 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016
The HCF of 9239,9016 is 1.
Lets's calculate GCF of 9239,9016
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9239,9016 By Matching Biggest Common Factor Method
Now, list down the factors of 9239
:1,9239
Now, list down the factors of 9016
:1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Greatest Common Factor
We found the factors 9239,9016 . The biggest common factor number is the GCF number.
So the greatest common factor 9239,9016 is 1.
Lets's calculate LCM of 539,3862
Given numbers has no common factors except 1. So, there LCM is their product i.e 2081618
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2081618
Therefore, the GCF of Fractions 9239/539,9016/3862 is 1/2081618
Least Common Multiple of 539,3862 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 539,3862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,3862) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,3862) x common factors =1 x 1 = 1
LCM(539,3862) = ( 539 × 3862 ) / 1
LCM(539,3862) = 2081618 / 1
LCM(539,3862) = 2081618
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9239/539, 9016/3862
1. What is the HCF of 9239,9016?
The HCF of 9239,9016 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 9239/539, 9016/3862?
Answer: GCF of Numerators as per given numbers 9239/539, 9016/3862 is
GCF of Numerators i.e. for 9239,9016 is 1
LCM of denominators i.e. for 539,3862 is 2081618.
Thus, GCF of Fractions is 1/2081618.Finally, GCF of Fractions for 9239/539, 9016/3862 is 1/2081618.