Use our free GCF of Fractions Calculator tool to compute the GCF of 326/284, 695/698 i.e 1/99116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 326/284, 695/698.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 326/284,695/698
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 326/284,695/698, numerators are 326,695
Denominators are 284,698
The GCF of 326,695 is 1 .
LCM of 284,698 is 99116.
The greatest common factor of 326/284,695/698 = [GCF of 326,695]/[LCM of 284,698]= 1/99116
Therefore, the GCF of 326/284,695/698 is 1/99116.
To find the highest common factor of 326,695, we have to find the factors of both numbers and list the highest common factor.
The factors of 326 are 1, 2, 163, 326
The factors of 695 are 1, 5, 139, 695
The HCF of 326,695 is 1.
Lets's calculate GCF of 326,695
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 326
:1,2,163,326
Now, list down the factors of 695
:1,5,139,695
Greatest Common Factor
We found the factors 326,695 . The biggest common factor number is the GCF number.
So the greatest common factor 326,695 is 1.
Lets's calculate LCM of 284,698
2 | 284, 698 |
142, 349 |
∴ So the LCM of the given numbers is 2 x 142 x 349 = 99116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99116
Therefore, the GCF of Fractions 326/284,695/698 is 1/99116
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 284,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,698) x common factors =2 x 1 = 2
LCM(284,698) = ( 284 × 698 ) / 2
LCM(284,698) = 198232 / 2
LCM(284,698) = 99116
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 326,695?
The HCF of 326,695 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 326/284, 695/698?
Answer: GCF of Numerators as per given numbers 326/284, 695/698 is
GCF of Numerators i.e. for 326,695 is 1
LCM of denominators i.e. for 284,698 is 99116.
Thus, GCF of Fractions is 1/99116.Finally, GCF of Fractions for 326/284, 695/698 is 1/99116.