GCF of 8981/748, 1153/8231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8981/748, 1153/8231 i.e 1/6156788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8981/748, 1153/8231.
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 8981/748,1153/8231?
Given fractions are 8981/748,1153/8231
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 8981/748,1153/8231, numerators are 8981,1153
Denominators are 748,8231
The GCF of 8981,1153 is 1 .
LCM of 748,8231 is 6156788.
The greatest common factor of 8981/748,1153/8231 = [GCF of 8981,1153]/[LCM of 748,8231]= 1/6156788
Therefore, the GCF of 8981/748,1153/8231 is 1/6156788.
To find the highest common factor of 8981,1153, we have to find the factors of both numbers and list the highest common factor.
The factors of 8981 are 1, 7, 1283, 8981
The factors of 1153 are 1, 1153
The HCF of 8981,1153 is 1.
Lets's calculate GCF of 8981,1153
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8981,1153 By Matching Biggest Common Factor Method
Now, list down the factors of 8981
:1,7,1283,8981
Now, list down the factors of 1153
:1,1153
Greatest Common Factor
We found the factors 8981,1153 . The biggest common factor number is the GCF number.
So the greatest common factor 8981,1153 is 1.
Lets's calculate LCM of 748,8231
Given numbers has no common factors except 1. So, there LCM is their product i.e 6156788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6156788
Therefore, the GCF of Fractions 8981/748,1153/8231 is 1/6156788
Least Common Multiple of 748,8231 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 748,8231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,8231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(748,8231) x common factors =1 x 1 = 1
LCM(748,8231) = ( 748 × 8231 ) / 1
LCM(748,8231) = 6156788 / 1
LCM(748,8231) = 6156788
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FAQs on GCF of Fractions of 8981/748, 1153/8231
1. What is the HCF of 8981,1153?
The HCF of 8981,1153 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 8981/748, 1153/8231?
Answer: GCF of Numerators as per given numbers 8981/748, 1153/8231 is
GCF of Numerators i.e. for 8981,1153 is 1
LCM of denominators i.e. for 748,8231 is 6156788.
Thus, GCF of Fractions is 1/6156788.Finally, GCF of Fractions for 8981/748, 1153/8231 is 1/6156788.