Use our free GCF of Fractions Calculator tool to compute the GCF of 103/326, 821/918 i.e 1/149634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 103/326, 821/918.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 103/326,821/918
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 103/326,821/918, numerators are 103,821
Denominators are 326,918
The GCF of 103,821 is 1 .
LCM of 326,918 is 149634.
The greatest common factor of 103/326,821/918 = [GCF of 103,821]/[LCM of 326,918]= 1/149634
Therefore, the GCF of 103/326,821/918 is 1/149634.
To find the highest common factor of 103,821, we have to find the factors of both numbers and list the highest common factor.
The factors of 103 are 1, 103
The factors of 821 are 1, 821
The HCF of 103,821 is 1.
Lets's calculate GCF of 103,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 103
:1,103
Now, list down the factors of 821
:1,821
Greatest Common Factor
We found the factors 103,821 . The biggest common factor number is the GCF number.
So the greatest common factor 103,821 is 1.
Lets's calculate LCM of 326,918
2 | 326, 918 |
163, 459 |
∴ So the LCM of the given numbers is 2 x 163 x 459 = 149634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149634
Therefore, the GCF of Fractions 103/326,821/918 is 1/149634
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 326,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,918) x common factors =2 x 1 = 2
LCM(326,918) = ( 326 × 918 ) / 2
LCM(326,918) = 299268 / 2
LCM(326,918) = 149634
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 103,821?
The HCF of 103,821 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 103/326, 821/918?
Answer: GCF of Numerators as per given numbers 103/326, 821/918 is
GCF of Numerators i.e. for 103,821 is 1
LCM of denominators i.e. for 326,918 is 149634.
Thus, GCF of Fractions is 1/149634.Finally, GCF of Fractions for 103/326, 821/918 is 1/149634.