GCF of 2701/798, 8365/2297
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2701/798, 8365/2297 i.e 1/1833006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2701/798, 8365/2297.
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 2701/798,8365/2297?
Given fractions are 2701/798,8365/2297
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 2701/798,8365/2297, numerators are 2701,8365
Denominators are 798,2297
The GCF of 2701,8365 is 1 .
LCM of 798,2297 is 1833006.
The greatest common factor of 2701/798,8365/2297 = [GCF of 2701,8365]/[LCM of 798,2297]= 1/1833006
Therefore, the GCF of 2701/798,8365/2297 is 1/1833006.
To find the highest common factor of 2701,8365, we have to find the factors of both numbers and list the highest common factor.
The factors of 2701 are 1, 37, 73, 2701
The factors of 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365
The HCF of 2701,8365 is 1.
Lets's calculate GCF of 2701,8365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2701,8365 By Matching Biggest Common Factor Method
Now, list down the factors of 2701
:1,37,73,2701
Now, list down the factors of 8365
:1,5,7,35,239,1195,1673,8365
Greatest Common Factor
We found the factors 2701,8365 . The biggest common factor number is the GCF number.
So the greatest common factor 2701,8365 is 1.
Lets's calculate LCM of 798,2297
Given numbers has no common factors except 1. So, there LCM is their product i.e 1833006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1833006
Therefore, the GCF of Fractions 2701/798,8365/2297 is 1/1833006
Least Common Multiple of 798,2297 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 798,2297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,2297) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(798,2297) x common factors =1 x 1 = 1
LCM(798,2297) = ( 798 × 2297 ) / 1
LCM(798,2297) = 1833006 / 1
LCM(798,2297) = 1833006
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2701/798, 8365/2297
1. What is the HCF of 2701,8365?
The HCF of 2701,8365 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 2701/798, 8365/2297?
Answer: GCF of Numerators as per given numbers 2701/798, 8365/2297 is
GCF of Numerators i.e. for 2701,8365 is 1
LCM of denominators i.e. for 798,2297 is 1833006.
Thus, GCF of Fractions is 1/1833006.Finally, GCF of Fractions for 2701/798, 8365/2297 is 1/1833006.