Use our free GCF of Fractions Calculator tool to compute the GCF of 754/574, 411/242 i.e 1/69454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 754/574, 411/242.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 754/574,411/242
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 754/574,411/242, numerators are 754,411
Denominators are 574,242
The GCF of 754,411 is 1 .
LCM of 574,242 is 69454.
The greatest common factor of 754/574,411/242 = [GCF of 754,411]/[LCM of 574,242]= 1/69454
Therefore, the GCF of 754/574,411/242 is 1/69454.
To find the highest common factor of 754,411, we have to find the factors of both numbers and list the highest common factor.
The factors of 754 are 1, 2, 13, 26, 29, 58, 377, 754
The factors of 411 are 1, 3, 137, 411
The HCF of 754,411 is 1.
Lets's calculate GCF of 754,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 754
:1,2,13,26,29,58,377,754
Now, list down the factors of 411
:1,3,137,411
Greatest Common Factor
We found the factors 754,411 . The biggest common factor number is the GCF number.
So the greatest common factor 754,411 is 1.
Lets's calculate LCM of 574,242
2 | 574, 242 |
287, 121 |
∴ So the LCM of the given numbers is 2 x 287 x 121 = 69454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69454
Therefore, the GCF of Fractions 754/574,411/242 is 1/69454
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 574,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,242) x common factors =2 x 1 = 2
LCM(574,242) = ( 574 × 242 ) / 2
LCM(574,242) = 138908 / 2
LCM(574,242) = 69454
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 754,411?
The HCF of 754,411 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 754/574, 411/242?
Answer: GCF of Numerators as per given numbers 754/574, 411/242 is
GCF of Numerators i.e. for 754,411 is 1
LCM of denominators i.e. for 574,242 is 69454.
Thus, GCF of Fractions is 1/69454.Finally, GCF of Fractions for 754/574, 411/242 is 1/69454.