Use our free GCF of Fractions Calculator tool to compute the GCF of 734/519, 418/385 i.e 2/199815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 734/519, 418/385.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 734/519,418/385
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 734/519,418/385, numerators are 734,418
Denominators are 519,385
The GCF of 734,418 is 2 .
LCM of 519,385 is 199815.
The greatest common factor of 734/519,418/385 = [GCF of 734,418]/[LCM of 519,385]= 2/199815
Therefore, the GCF of 734/519,418/385 is 2/199815.
To find the highest common factor of 734,418, we have to find the factors of both numbers and list the highest common factor.
The factors of 734 are 1, 2, 367, 734
The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418
The HCF of 734,418 is 2.
Lets's calculate GCF of 734,418
2 | 734, 418 |
367, 209 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 734
:1,2,367,734
Now, list down the factors of 418
:1,2,11,19,22,38,209,418
Greatest Common Factor
We found the factors 734,418 . The biggest common factor number is the GCF number.
So the greatest common factor 734,418 is 2.
Lets's calculate LCM of 519,385
Given numbers has no common factors except 1. So, there LCM is their product i.e 199815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/199815
Therefore, the GCF of Fractions 734/519,418/385 is 2/199815
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 519,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,385) x common factors =1 x 1 = 1
LCM(519,385) = ( 519 × 385 ) / 1
LCM(519,385) = 199815 / 1
LCM(519,385) = 199815
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 734,418?
The HCF of 734,418 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 734/519, 418/385?
Answer: GCF of Numerators as per given numbers 734/519, 418/385 is
GCF of Numerators i.e. for 734,418 is 2
LCM of denominators i.e. for 519,385 is 199815.
Thus, GCF of Fractions is 2/199815.Finally, GCF of Fractions for 734/519, 418/385 is 2/199815.