Use our free GCF of Fractions Calculator tool to compute the GCF of 571/738, 319/946 i.e 1/349074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 571/738, 319/946.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 571/738,319/946
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 571/738,319/946, numerators are 571,319
Denominators are 738,946
The GCF of 571,319 is 1 .
LCM of 738,946 is 349074.
The greatest common factor of 571/738,319/946 = [GCF of 571,319]/[LCM of 738,946]= 1/349074
Therefore, the GCF of 571/738,319/946 is 1/349074.
To find the highest common factor of 571,319, we have to find the factors of both numbers and list the highest common factor.
The factors of 571 are 1, 571
The factors of 319 are 1, 11, 29, 319
The HCF of 571,319 is 1.
Lets's calculate GCF of 571,319
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 571
:1,571
Now, list down the factors of 319
:1,11,29,319
Greatest Common Factor
We found the factors 571,319 . The biggest common factor number is the GCF number.
So the greatest common factor 571,319 is 1.
Lets's calculate LCM of 738,946
2 | 738, 946 |
369, 473 |
∴ So the LCM of the given numbers is 2 x 369 x 473 = 349074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349074
Therefore, the GCF of Fractions 571/738,319/946 is 1/349074
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 738,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(738,946) x common factors =2 x 1 = 2
LCM(738,946) = ( 738 × 946 ) / 2
LCM(738,946) = 698148 / 2
LCM(738,946) = 349074
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 571,319?
The HCF of 571,319 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 571/738, 319/946?
Answer: GCF of Numerators as per given numbers 571/738, 319/946 is
GCF of Numerators i.e. for 571,319 is 1
LCM of denominators i.e. for 738,946 is 349074.
Thus, GCF of Fractions is 1/349074.Finally, GCF of Fractions for 571/738, 319/946 is 1/349074.