Use our free GCF of Fractions Calculator tool to compute the GCF of 379/420, 599/369 i.e 1/51660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 379/420, 599/369.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 379/420,599/369
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 379/420,599/369, numerators are 379,599
Denominators are 420,369
The GCF of 379,599 is 1 .
LCM of 420,369 is 51660.
The greatest common factor of 379/420,599/369 = [GCF of 379,599]/[LCM of 420,369]= 1/51660
Therefore, the GCF of 379/420,599/369 is 1/51660.
To find the highest common factor of 379,599, we have to find the factors of both numbers and list the highest common factor.
The factors of 379 are 1, 379
The factors of 599 are 1, 599
The HCF of 379,599 is 1.
Lets's calculate GCF of 379,599
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 379
:1,379
Now, list down the factors of 599
:1,599
Greatest Common Factor
We found the factors 379,599 . The biggest common factor number is the GCF number.
So the greatest common factor 379,599 is 1.
Lets's calculate LCM of 420,369
3 | 420, 369 |
140, 123 |
∴ So the LCM of the given numbers is 3 x 140 x 123 = 51660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51660
Therefore, the GCF of Fractions 379/420,599/369 is 1/51660
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 420,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,369) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(420,369) x common factors =3 x 1 = 3
LCM(420,369) = ( 420 × 369 ) / 3
LCM(420,369) = 154980 / 3
LCM(420,369) = 51660
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 379,599?
The HCF of 379,599 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 379/420, 599/369?
Answer: GCF of Numerators as per given numbers 379/420, 599/369 is
GCF of Numerators i.e. for 379,599 is 1
LCM of denominators i.e. for 420,369 is 51660.
Thus, GCF of Fractions is 1/51660.Finally, GCF of Fractions for 379/420, 599/369 is 1/51660.