GCF of 8318/403, 1698/3653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8318/403, 1698/3653 i.e 2/113243 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8318/403, 1698/3653.
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 8318/403,1698/3653?
Given fractions are 8318/403,1698/3653
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 8318/403,1698/3653, numerators are 8318,1698
Denominators are 403,3653
The GCF of 8318,1698 is 2 .
LCM of 403,3653 is 113243.
The greatest common factor of 8318/403,1698/3653 = [GCF of 8318,1698]/[LCM of 403,3653]= 2/113243
Therefore, the GCF of 8318/403,1698/3653 is 2/113243.
To find the highest common factor of 8318,1698, we have to find the factors of both numbers and list the highest common factor.
The factors of 8318 are 1, 2, 4159, 8318
The factors of 1698 are 1, 2, 3, 6, 283, 566, 849, 1698
The HCF of 8318,1698 is 2.
Lets's calculate GCF of 8318,1698
| 2 | 8318, 1698 |
| 4159, 849 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8318,1698 By Matching Biggest Common Factor Method
Now, list down the factors of 8318
:1,2,4159,8318
Now, list down the factors of 1698
:1,2,3,6,283,566,849,1698
Greatest Common Factor
We found the factors 8318,1698 . The biggest common factor number is the GCF number.
So the greatest common factor 8318,1698 is 2.
Lets's calculate LCM of 403,3653
| 13 | 403, 3653 |
| 31, 281 |
∴ So the LCM of the given numbers is 13 x 31 x 281 = 113243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/113243
Therefore, the GCF of Fractions 8318/403,1698/3653 is 2/113243
Least Common Multiple of 403,3653 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 403,3653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,3653) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(403,3653) x common factors =13 x 1 = 13
LCM(403,3653) = ( 403 × 3653 ) / 13
LCM(403,3653) = 1472159 / 13
LCM(403,3653) = 113243
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8318/403, 1698/3653
1. What is the HCF of 8318,1698?
The HCF of 8318,1698 is 2
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 8318/403, 1698/3653?
Answer: GCF of Numerators as per given numbers 8318/403, 1698/3653 is
GCF of Numerators i.e. for 8318,1698 is 2
LCM of denominators i.e. for 403,3653 is 113243.
Thus, GCF of Fractions is 2/113243.Finally, GCF of Fractions for 8318/403, 1698/3653 is 2/113243.