Use our free GCF of Fractions Calculator tool to compute the GCF of 10/26, 658/33, 398/582 i.e 2/83226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 10/26, 658/33, 398/582.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 10/26,658/33,398/582
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 10/26,658/33,398/582, numerators are 10,658,398
Denominators are 26,33,582
The GCF of 10,658,398 is 2 .
LCM of 26,33,582 is 83226.
The greatest common factor of 10/26,658/33,398/582 = [GCF of 10,658,398]/[LCM of 26,33,582]= 2/83226
Therefore, the GCF of 10/26,658/33,398/582 is 2/83226.
To find the highest common factor of 10,658,398, we have to find the factors of both numbers and list the highest common factor.
The factors of 10 are 1, 2, 5, 10
The factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658
The factors of 398 are 1, 2, 199, 398
The HCF of 10,658,398 is 2.
Lets's calculate GCF of 10,658,398
2 | 10, 658, 398 |
5, 329, 199 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 10
:1,2,5,10
Now, list down the factors of 658
:1,2,7,14,47,94,329,658
Now, list down the factors of 398
:1,2,199,398
Greatest Common Factor
We found the factors 10,658,398 . The biggest common factor number is the GCF number.
So the greatest common factor 10,658,398 is 2.
Lets's calculate LCM of 26,33,582
2 | 26, 33, 582 |
3 | 13, 33, 291 |
13, 11, 97 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 97 = 83226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/83226
Therefore, the GCF of Fractions 10/26,658/33,398/582 is 2/83226
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 26,33,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,33,582) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(26,33,582) x common factors =1 x 6 = 6
LCM(26,33,582) = ( 26 × 33 × 582 ) / 6
LCM(26,33,582) = 499356 / 6
LCM(26,33,582) = 83226
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 10,658,398?
The HCF of 10,658,398 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 10/26, 658/33, 398/582?
Answer: GCF of Numerators as per given numbers 10/26, 658/33, 398/582 is
GCF of Numerators i.e. for 10,658,398 is 2
LCM of denominators i.e. for 26,33,582 is 83226.
Thus, GCF of Fractions is 2/83226.Finally, GCF of Fractions for 10/26, 658/33, 398/582 is 2/83226.