GCF of 8786/813, 7103/1006
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8786/813, 7103/1006 i.e 1/817878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8786/813, 7103/1006.
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 8786/813,7103/1006?
Given fractions are 8786/813,7103/1006
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 8786/813,7103/1006, numerators are 8786,7103
Denominators are 813,1006
The GCF of 8786,7103 is 1 .
LCM of 813,1006 is 817878.
The greatest common factor of 8786/813,7103/1006 = [GCF of 8786,7103]/[LCM of 813,1006]= 1/817878
Therefore, the GCF of 8786/813,7103/1006 is 1/817878.
To find the highest common factor of 8786,7103, we have to find the factors of both numbers and list the highest common factor.
The factors of 8786 are 1, 2, 23, 46, 191, 382, 4393, 8786
The factors of 7103 are 1, 7103
The HCF of 8786,7103 is 1.
Lets's calculate GCF of 8786,7103
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8786,7103 By Matching Biggest Common Factor Method
Now, list down the factors of 8786
:1,2,23,46,191,382,4393,8786
Now, list down the factors of 7103
:1,7103
Greatest Common Factor
We found the factors 8786,7103 . The biggest common factor number is the GCF number.
So the greatest common factor 8786,7103 is 1.
Lets's calculate LCM of 813,1006
Given numbers has no common factors except 1. So, there LCM is their product i.e 817878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/817878
Therefore, the GCF of Fractions 8786/813,7103/1006 is 1/817878
Least Common Multiple of 813,1006 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 813,1006 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(813,1006) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(813,1006) x common factors =1 x 1 = 1
LCM(813,1006) = ( 813 × 1006 ) / 1
LCM(813,1006) = 817878 / 1
LCM(813,1006) = 817878
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8786/813, 7103/1006
1. What is the HCF of 8786,7103?
The HCF of 8786,7103 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 8786/813, 7103/1006?
Answer: GCF of Numerators as per given numbers 8786/813, 7103/1006 is
GCF of Numerators i.e. for 8786,7103 is 1
LCM of denominators i.e. for 813,1006 is 817878.
Thus, GCF of Fractions is 1/817878.Finally, GCF of Fractions for 8786/813, 7103/1006 is 1/817878.