Use our free GCF of Fractions Calculator tool to compute the GCF of 379/427, 326/411 i.e 1/175497 easily. The following is the detailed procedure to determine the greatest common factor of fractions 379/427, 326/411.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 379/427,326/411
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 379/427,326/411, numerators are 379,326
Denominators are 427,411
The GCF of 379,326 is 1 .
LCM of 427,411 is 175497.
The greatest common factor of 379/427,326/411 = [GCF of 379,326]/[LCM of 427,411]= 1/175497
Therefore, the GCF of 379/427,326/411 is 1/175497.
To find the highest common factor of 379,326, 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 326 are 1, 2, 163, 326
The HCF of 379,326 is 1.
Lets's calculate GCF of 379,326
∴ 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 326
:1,2,163,326
Greatest Common Factor
We found the factors 379,326 . The biggest common factor number is the GCF number.
So the greatest common factor 379,326 is 1.
Lets's calculate LCM of 427,411
Given numbers has no common factors except 1. So, there LCM is their product i.e 175497
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175497
Therefore, the GCF of Fractions 379/427,326/411 is 1/175497
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 427,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,411) x common factors =1 x 1 = 1
LCM(427,411) = ( 427 × 411 ) / 1
LCM(427,411) = 175497 / 1
LCM(427,411) = 175497
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 379,326?
The HCF of 379,326 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 379/427, 326/411?
Answer: GCF of Numerators as per given numbers 379/427, 326/411 is
GCF of Numerators i.e. for 379,326 is 1
LCM of denominators i.e. for 427,411 is 175497.
Thus, GCF of Fractions is 1/175497.Finally, GCF of Fractions for 379/427, 326/411 is 1/175497.