Use our free GCF of Fractions Calculator tool to compute the GCF of 155/537, 766/108 i.e 1/19332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/537, 766/108.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 155/537,766/108
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 155/537,766/108, numerators are 155,766
Denominators are 537,108
The GCF of 155,766 is 1 .
LCM of 537,108 is 19332.
The greatest common factor of 155/537,766/108 = [GCF of 155,766]/[LCM of 537,108]= 1/19332
Therefore, the GCF of 155/537,766/108 is 1/19332.
To find the highest common factor of 155,766, we have to find the factors of both numbers and list the highest common factor.
The factors of 155 are 1, 5, 31, 155
The factors of 766 are 1, 2, 383, 766
The HCF of 155,766 is 1.
Lets's calculate GCF of 155,766
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 766
:1,2,383,766
Greatest Common Factor
We found the factors 155,766 . The biggest common factor number is the GCF number.
So the greatest common factor 155,766 is 1.
Lets's calculate LCM of 537,108
3 | 537, 108 |
179, 36 |
∴ So the LCM of the given numbers is 3 x 179 x 36 = 19332
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19332
Therefore, the GCF of Fractions 155/537,766/108 is 1/19332
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 537,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(537,108) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(537,108) x common factors =3 x 1 = 3
LCM(537,108) = ( 537 × 108 ) / 3
LCM(537,108) = 57996 / 3
LCM(537,108) = 19332
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 155,766?
The HCF of 155,766 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 155/537, 766/108?
Answer: GCF of Numerators as per given numbers 155/537, 766/108 is
GCF of Numerators i.e. for 155,766 is 1
LCM of denominators i.e. for 537,108 is 19332.
Thus, GCF of Fractions is 1/19332.Finally, GCF of Fractions for 155/537, 766/108 is 1/19332.