Use our free GCF of Fractions Calculator tool to compute the GCF of 3327/765, 9924/2780 i.e 3/425340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3327/765, 9924/2780.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3327/765,9924/2780
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 3327/765,9924/2780, numerators are 3327,9924
Denominators are 765,2780
The GCF of 3327,9924 is 3 .
LCM of 765,2780 is 425340.
The greatest common factor of 3327/765,9924/2780 = [GCF of 3327,9924]/[LCM of 765,2780]= 3/425340
Therefore, the GCF of 3327/765,9924/2780 is 3/425340.
To find the highest common factor of 3327,9924, we have to find the factors of both numbers and list the highest common factor.
The factors of 3327 are 1, 3, 1109, 3327
The factors of 9924 are 1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924
The HCF of 3327,9924 is 3.
Lets's calculate GCF of 3327,9924
3 | 3327, 9924 |
1109, 3308 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 3327
:1,3,1109,3327
Now, list down the factors of 9924
:1,2,3,4,6,12,827,1654,2481,3308,4962,9924
Greatest Common Factor
We found the factors 3327,9924 . The biggest common factor number is the GCF number.
So the greatest common factor 3327,9924 is 3.
Lets's calculate LCM of 765,2780
5 | 765, 2780 |
153, 556 |
∴ So the LCM of the given numbers is 5 x 153 x 556 = 425340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/425340
Therefore, the GCF of Fractions 3327/765,9924/2780 is 3/425340
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 765,2780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,2780) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(765,2780) x common factors =5 x 1 = 5
LCM(765,2780) = ( 765 × 2780 ) / 5
LCM(765,2780) = 2126700 / 5
LCM(765,2780) = 425340
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3327,9924?
The HCF of 3327,9924 is 3
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 3327/765, 9924/2780?
Answer: GCF of Numerators as per given numbers 3327/765, 9924/2780 is
GCF of Numerators i.e. for 3327,9924 is 3
LCM of denominators i.e. for 765,2780 is 425340.
Thus, GCF of Fractions is 3/425340.Finally, GCF of Fractions for 3327/765, 9924/2780 is 3/425340.