Use our free GCF of Fractions Calculator tool to compute the GCF of 758/909, 441/321 i.e 1/97263 easily. The following is the detailed procedure to determine the greatest common factor of fractions 758/909, 441/321.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 758/909,441/321
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 758/909,441/321, numerators are 758,441
Denominators are 909,321
The GCF of 758,441 is 1 .
LCM of 909,321 is 97263.
The greatest common factor of 758/909,441/321 = [GCF of 758,441]/[LCM of 909,321]= 1/97263
Therefore, the GCF of 758/909,441/321 is 1/97263.
To find the highest common factor of 758,441, we have to find the factors of both numbers and list the highest common factor.
The factors of 758 are 1, 2, 379, 758
The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441
The HCF of 758,441 is 1.
Lets's calculate GCF of 758,441
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 758
:1,2,379,758
Now, list down the factors of 441
:1,3,7,9,21,49,63,147,441
Greatest Common Factor
We found the factors 758,441 . The biggest common factor number is the GCF number.
So the greatest common factor 758,441 is 1.
Lets's calculate LCM of 909,321
3 | 909, 321 |
303, 107 |
∴ So the LCM of the given numbers is 3 x 303 x 107 = 97263
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97263
Therefore, the GCF of Fractions 758/909,441/321 is 1/97263
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 909,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,321) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(909,321) x common factors =3 x 1 = 3
LCM(909,321) = ( 909 × 321 ) / 3
LCM(909,321) = 291789 / 3
LCM(909,321) = 97263
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 758,441?
The HCF of 758,441 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 758/909, 441/321?
Answer: GCF of Numerators as per given numbers 758/909, 441/321 is
GCF of Numerators i.e. for 758,441 is 1
LCM of denominators i.e. for 909,321 is 97263.
Thus, GCF of Fractions is 1/97263.Finally, GCF of Fractions for 758/909, 441/321 is 1/97263.