Use our free GCF of Fractions Calculator tool to compute the GCF of 426/956, 381/513 i.e 3/490428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 426/956, 381/513.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 426/956,381/513
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 426/956,381/513, numerators are 426,381
Denominators are 956,513
The GCF of 426,381 is 3 .
LCM of 956,513 is 490428.
The greatest common factor of 426/956,381/513 = [GCF of 426,381]/[LCM of 956,513]= 3/490428
Therefore, the GCF of 426/956,381/513 is 3/490428.
To find the highest common factor of 426,381, we have to find the factors of both numbers and list the highest common factor.
The factors of 426 are 1, 2, 3, 6, 71, 142, 213, 426
The factors of 381 are 1, 3, 127, 381
The HCF of 426,381 is 3.
Lets's calculate GCF of 426,381
3 | 426, 381 |
142, 127 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 426
:1,2,3,6,71,142,213,426
Now, list down the factors of 381
:1,3,127,381
Greatest Common Factor
We found the factors 426,381 . The biggest common factor number is the GCF number.
So the greatest common factor 426,381 is 3.
Lets's calculate LCM of 956,513
Given numbers has no common factors except 1. So, there LCM is their product i.e 490428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/490428
Therefore, the GCF of Fractions 426/956,381/513 is 3/490428
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 956,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(956,513) x common factors =1 x 1 = 1
LCM(956,513) = ( 956 × 513 ) / 1
LCM(956,513) = 490428 / 1
LCM(956,513) = 490428
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 426,381?
The HCF of 426,381 is 3
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 426/956, 381/513?
Answer: GCF of Numerators as per given numbers 426/956, 381/513 is
GCF of Numerators i.e. for 426,381 is 3
LCM of denominators i.e. for 956,513 is 490428.
Thus, GCF of Fractions is 3/490428.Finally, GCF of Fractions for 426/956, 381/513 is 3/490428.