Use our free GCF of Fractions Calculator tool to compute the GCF of 618/754, 369/644 i.e 3/242788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/754, 369/644.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 618/754,369/644
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 618/754,369/644, numerators are 618,369
Denominators are 754,644
The GCF of 618,369 is 3 .
LCM of 754,644 is 242788.
The greatest common factor of 618/754,369/644 = [GCF of 618,369]/[LCM of 754,644]= 3/242788
Therefore, the GCF of 618/754,369/644 is 3/242788.
To find the highest common factor of 618,369, we have to find the factors of both numbers and list the highest common factor.
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The factors of 369 are 1, 3, 9, 41, 123, 369
The HCF of 618,369 is 3.
Lets's calculate GCF of 618,369
3 | 618, 369 |
206, 123 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Now, list down the factors of 369
:1,3,9,41,123,369
Greatest Common Factor
We found the factors 618,369 . The biggest common factor number is the GCF number.
So the greatest common factor 618,369 is 3.
Lets's calculate LCM of 754,644
2 | 754, 644 |
377, 322 |
∴ So the LCM of the given numbers is 2 x 377 x 322 = 242788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/242788
Therefore, the GCF of Fractions 618/754,369/644 is 3/242788
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 754,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,644) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,644) x common factors =2 x 1 = 2
LCM(754,644) = ( 754 × 644 ) / 2
LCM(754,644) = 485576 / 2
LCM(754,644) = 242788
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 618,369?
The HCF of 618,369 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 618/754, 369/644?
Answer: GCF of Numerators as per given numbers 618/754, 369/644 is
GCF of Numerators i.e. for 618,369 is 3
LCM of denominators i.e. for 754,644 is 242788.
Thus, GCF of Fractions is 3/242788.Finally, GCF of Fractions for 618/754, 369/644 is 3/242788.