Use our free GCF of Fractions Calculator tool to compute the GCF of 741/928, 351/557 i.e 39/516896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 741/928, 351/557.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 741/928,351/557
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 741/928,351/557, numerators are 741,351
Denominators are 928,557
The GCF of 741,351 is 39 .
LCM of 928,557 is 516896.
The greatest common factor of 741/928,351/557 = [GCF of 741,351]/[LCM of 928,557]= 39/516896
Therefore, the GCF of 741/928,351/557 is 39/516896.
To find the highest common factor of 741,351, we have to find the factors of both numbers and list the highest common factor.
The factors of 741 are 1, 3, 13, 19, 39, 57, 247, 741
The factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351
The HCF of 741,351 is 39.
Lets's calculate GCF of 741,351
3 | 741, 351 |
13 | 247, 117 |
19, 9 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Now, list down the factors of 741
:1,3,13,19,39,57,247,741
Now, list down the factors of 351
:1,3,9,13,27,39,117,351
Greatest Common Factor
We found the factors 741,351 . The biggest common factor number is the GCF number.
So the greatest common factor 741,351 is 39.
Lets's calculate LCM of 928,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 516896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/516896
Therefore, the GCF of Fractions 741/928,351/557 is 39/516896
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 928,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(928,557) x common factors =1 x 1 = 1
LCM(928,557) = ( 928 × 557 ) / 1
LCM(928,557) = 516896 / 1
LCM(928,557) = 516896
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 741,351?
The HCF of 741,351 is 39
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 741/928, 351/557?
Answer: GCF of Numerators as per given numbers 741/928, 351/557 is
GCF of Numerators i.e. for 741,351 is 39
LCM of denominators i.e. for 928,557 is 516896.
Thus, GCF of Fractions is 39/516896.Finally, GCF of Fractions for 741/928, 351/557 is 39/516896.