Use our free GCF of Fractions Calculator tool to compute the GCF of 914/410, 598/768 i.e 2/157440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 914/410, 598/768.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 914/410,598/768
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 914/410,598/768, numerators are 914,598
Denominators are 410,768
The GCF of 914,598 is 2 .
LCM of 410,768 is 157440.
The greatest common factor of 914/410,598/768 = [GCF of 914,598]/[LCM of 410,768]= 2/157440
Therefore, the GCF of 914/410,598/768 is 2/157440.
To find the highest common factor of 914,598, we have to find the factors of both numbers and list the highest common factor.
The factors of 914 are 1, 2, 457, 914
The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598
The HCF of 914,598 is 2.
Lets's calculate GCF of 914,598
2 | 914, 598 |
457, 299 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 914
:1,2,457,914
Now, list down the factors of 598
:1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 914,598 . The biggest common factor number is the GCF number.
So the greatest common factor 914,598 is 2.
Lets's calculate LCM of 410,768
2 | 410, 768 |
205, 384 |
∴ So the LCM of the given numbers is 2 x 205 x 384 = 157440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157440
Therefore, the GCF of Fractions 914/410,598/768 is 2/157440
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 410,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,768) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(410,768) x common factors =2 x 1 = 2
LCM(410,768) = ( 410 × 768 ) / 2
LCM(410,768) = 314880 / 2
LCM(410,768) = 157440
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 914,598?
The HCF of 914,598 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 914/410, 598/768?
Answer: GCF of Numerators as per given numbers 914/410, 598/768 is
GCF of Numerators i.e. for 914,598 is 2
LCM of denominators i.e. for 410,768 is 157440.
Thus, GCF of Fractions is 2/157440.Finally, GCF of Fractions for 914/410, 598/768 is 2/157440.