Use our free GCF of Fractions Calculator tool to compute the GCF of 537/615, 394/591 i.e 1/121155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 537/615, 394/591.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 537/615,394/591
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 537/615,394/591, numerators are 537,394
Denominators are 615,591
The GCF of 537,394 is 1 .
LCM of 615,591 is 121155.
The greatest common factor of 537/615,394/591 = [GCF of 537,394]/[LCM of 615,591]= 1/121155
Therefore, the GCF of 537/615,394/591 is 1/121155.
To find the highest common factor of 537,394, we have to find the factors of both numbers and list the highest common factor.
The factors of 537 are 1, 3, 179, 537
The factors of 394 are 1, 2, 197, 394
The HCF of 537,394 is 1.
Lets's calculate GCF of 537,394
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 537
:1,3,179,537
Now, list down the factors of 394
:1,2,197,394
Greatest Common Factor
We found the factors 537,394 . The biggest common factor number is the GCF number.
So the greatest common factor 537,394 is 1.
Lets's calculate LCM of 615,591
3 | 615, 591 |
205, 197 |
∴ So the LCM of the given numbers is 3 x 205 x 197 = 121155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121155
Therefore, the GCF of Fractions 537/615,394/591 is 1/121155
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 615,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,591) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(615,591) x common factors =3 x 1 = 3
LCM(615,591) = ( 615 × 591 ) / 3
LCM(615,591) = 363465 / 3
LCM(615,591) = 121155
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 537,394?
The HCF of 537,394 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 537/615, 394/591?
Answer: GCF of Numerators as per given numbers 537/615, 394/591 is
GCF of Numerators i.e. for 537,394 is 1
LCM of denominators i.e. for 615,591 is 121155.
Thus, GCF of Fractions is 1/121155.Finally, GCF of Fractions for 537/615, 394/591 is 1/121155.