Use our free GCF of Fractions Calculator tool to compute the GCF of 574/901, 546/771 i.e 14/694671 easily. The following is the detailed procedure to determine the greatest common factor of fractions 574/901, 546/771.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 574/901,546/771
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 574/901,546/771, numerators are 574,546
Denominators are 901,771
The GCF of 574,546 is 14 .
LCM of 901,771 is 694671.
The greatest common factor of 574/901,546/771 = [GCF of 574,546]/[LCM of 901,771]= 14/694671
Therefore, the GCF of 574/901,546/771 is 14/694671.
To find the highest common factor of 574,546, we have to find the factors of both numbers and list the highest common factor.
The factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The HCF of 574,546 is 14.
Lets's calculate GCF of 574,546
2 | 574, 546 |
7 | 287, 273 |
41, 39 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 574
:1,2,7,14,41,82,287,574
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 574,546 . The biggest common factor number is the GCF number.
So the greatest common factor 574,546 is 14.
Lets's calculate LCM of 901,771
Given numbers has no common factors except 1. So, there LCM is their product i.e 694671
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/694671
Therefore, the GCF of Fractions 574/901,546/771 is 14/694671
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 901,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,771) x common factors =1 x 1 = 1
LCM(901,771) = ( 901 × 771 ) / 1
LCM(901,771) = 694671 / 1
LCM(901,771) = 694671
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 574,546?
The HCF of 574,546 is 14
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 574/901, 546/771?
Answer: GCF of Numerators as per given numbers 574/901, 546/771 is
GCF of Numerators i.e. for 574,546 is 14
LCM of denominators i.e. for 901,771 is 694671.
Thus, GCF of Fractions is 14/694671.Finally, GCF of Fractions for 574/901, 546/771 is 14/694671.