Use our free GCF of Fractions Calculator tool to compute the GCF of 436/409, 1698/8451 i.e 2/3456459 easily. The following is the detailed procedure to determine the greatest common factor of fractions 436/409, 1698/8451.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 436/409,1698/8451
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 436/409,1698/8451, numerators are 436,1698
Denominators are 409,8451
The GCF of 436,1698 is 2 .
LCM of 409,8451 is 3456459.
The greatest common factor of 436/409,1698/8451 = [GCF of 436,1698]/[LCM of 409,8451]= 2/3456459
Therefore, the GCF of 436/409,1698/8451 is 2/3456459.
To find the highest common factor of 436,1698, we have to find the factors of both numbers and list the highest common factor.
The factors of 436 are 1, 2, 4, 109, 218, 436
The factors of 1698 are 1, 2, 3, 6, 283, 566, 849, 1698
The HCF of 436,1698 is 2.
Lets's calculate GCF of 436,1698
2 | 436, 1698 |
218, 849 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 436
:1,2,4,109,218,436
Now, list down the factors of 1698
:1,2,3,6,283,566,849,1698
Greatest Common Factor
We found the factors 436,1698 . The biggest common factor number is the GCF number.
So the greatest common factor 436,1698 is 2.
Lets's calculate LCM of 409,8451
Given numbers has no common factors except 1. So, there LCM is their product i.e 3456459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3456459
Therefore, the GCF of Fractions 436/409,1698/8451 is 2/3456459
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 409,8451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,8451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,8451) x common factors =1 x 1 = 1
LCM(409,8451) = ( 409 × 8451 ) / 1
LCM(409,8451) = 3456459 / 1
LCM(409,8451) = 3456459
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 436,1698?
The HCF of 436,1698 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 436/409, 1698/8451?
Answer: GCF of Numerators as per given numbers 436/409, 1698/8451 is
GCF of Numerators i.e. for 436,1698 is 2
LCM of denominators i.e. for 409,8451 is 3456459.
Thus, GCF of Fractions is 2/3456459.Finally, GCF of Fractions for 436/409, 1698/8451 is 2/3456459.