GCF of 8986/311, 2217/345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8986/311, 2217/345 i.e 1/107295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8986/311, 2217/345.
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 8986/311,2217/345?
Given fractions are 8986/311,2217/345
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 8986/311,2217/345, numerators are 8986,2217
Denominators are 311,345
The GCF of 8986,2217 is 1 .
LCM of 311,345 is 107295.
The greatest common factor of 8986/311,2217/345 = [GCF of 8986,2217]/[LCM of 311,345]= 1/107295
Therefore, the GCF of 8986/311,2217/345 is 1/107295.
To find the highest common factor of 8986,2217, we have to find the factors of both numbers and list the highest common factor.
The factors of 8986 are 1, 2, 4493, 8986
The factors of 2217 are 1, 3, 739, 2217
The HCF of 8986,2217 is 1.
Lets's calculate GCF of 8986,2217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8986,2217 By Matching Biggest Common Factor Method
Now, list down the factors of 8986
:1,2,4493,8986
Now, list down the factors of 2217
:1,3,739,2217
Greatest Common Factor
We found the factors 8986,2217 . The biggest common factor number is the GCF number.
So the greatest common factor 8986,2217 is 1.
Lets's calculate LCM of 311,345
Given numbers has no common factors except 1. So, there LCM is their product i.e 107295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107295
Therefore, the GCF of Fractions 8986/311,2217/345 is 1/107295
Least Common Multiple of 311,345 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 311,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,345) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,345) x common factors =1 x 1 = 1
LCM(311,345) = ( 311 × 345 ) / 1
LCM(311,345) = 107295 / 1
LCM(311,345) = 107295
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8986/311, 2217/345
1. What is the HCF of 8986,2217?
The HCF of 8986,2217 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 8986/311, 2217/345?
Answer: GCF of Numerators as per given numbers 8986/311, 2217/345 is
GCF of Numerators i.e. for 8986,2217 is 1
LCM of denominators i.e. for 311,345 is 107295.
Thus, GCF of Fractions is 1/107295.Finally, GCF of Fractions for 8986/311, 2217/345 is 1/107295.