GCF of 235/818, 8198/6435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 235/818, 8198/6435 i.e 1/5263830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 235/818, 8198/6435.
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 235/818,8198/6435?
Given fractions are 235/818,8198/6435
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 235/818,8198/6435, numerators are 235,8198
Denominators are 818,6435
The GCF of 235,8198 is 1 .
LCM of 818,6435 is 5263830.
The greatest common factor of 235/818,8198/6435 = [GCF of 235,8198]/[LCM of 818,6435]= 1/5263830
Therefore, the GCF of 235/818,8198/6435 is 1/5263830.
To find the highest common factor of 235,8198, we have to find the factors of both numbers and list the highest common factor.
The factors of 235 are 1, 5, 47, 235
The factors of 8198 are 1, 2, 4099, 8198
The HCF of 235,8198 is 1.
Lets's calculate GCF of 235,8198
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 235,8198 By Matching Biggest Common Factor Method
Now, list down the factors of 235
:1,5,47,235
Now, list down the factors of 8198
:1,2,4099,8198
Greatest Common Factor
We found the factors 235,8198 . The biggest common factor number is the GCF number.
So the greatest common factor 235,8198 is 1.
Lets's calculate LCM of 818,6435
Given numbers has no common factors except 1. So, there LCM is their product i.e 5263830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5263830
Therefore, the GCF of Fractions 235/818,8198/6435 is 1/5263830
Least Common Multiple of 818,6435 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 818,6435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,6435) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(818,6435) x common factors =1 x 1 = 1
LCM(818,6435) = ( 818 × 6435 ) / 1
LCM(818,6435) = 5263830 / 1
LCM(818,6435) = 5263830
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 235/818, 8198/6435
1. What is the HCF of 235,8198?
The HCF of 235,8198 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 235/818, 8198/6435?
Answer: GCF of Numerators as per given numbers 235/818, 8198/6435 is
GCF of Numerators i.e. for 235,8198 is 1
LCM of denominators i.e. for 818,6435 is 5263830.
Thus, GCF of Fractions is 1/5263830.Finally, GCF of Fractions for 235/818, 8198/6435 is 1/5263830.