Use our free GCF of Fractions Calculator tool to compute the GCF of 773/999, 108/660 i.e 1/219780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 773/999, 108/660.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 773/999,108/660
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 773/999,108/660, numerators are 773,108
Denominators are 999,660
The GCF of 773,108 is 1 .
LCM of 999,660 is 219780.
The greatest common factor of 773/999,108/660 = [GCF of 773,108]/[LCM of 999,660]= 1/219780
Therefore, the GCF of 773/999,108/660 is 1/219780.
To find the highest common factor of 773,108, we have to find the factors of both numbers and list the highest common factor.
The factors of 773 are 1, 773
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The HCF of 773,108 is 1.
Lets's calculate GCF of 773,108
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 773
:1,773
Now, list down the factors of 108
:1,2,3,4,6,9,12,18,27,36,54,108
Greatest Common Factor
We found the factors 773,108 . The biggest common factor number is the GCF number.
So the greatest common factor 773,108 is 1.
Lets's calculate LCM of 999,660
3 | 999, 660 |
333, 220 |
∴ So the LCM of the given numbers is 3 x 333 x 220 = 219780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219780
Therefore, the GCF of Fractions 773/999,108/660 is 1/219780
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 999,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,660) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(999,660) x common factors =3 x 1 = 3
LCM(999,660) = ( 999 × 660 ) / 3
LCM(999,660) = 659340 / 3
LCM(999,660) = 219780
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 773,108?
The HCF of 773,108 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 773/999, 108/660?
Answer: GCF of Numerators as per given numbers 773/999, 108/660 is
GCF of Numerators i.e. for 773,108 is 1
LCM of denominators i.e. for 999,660 is 219780.
Thus, GCF of Fractions is 1/219780.Finally, GCF of Fractions for 773/999, 108/660 is 1/219780.