Use our free GCF of Fractions Calculator tool to compute the GCF of 831/304, 572/290 i.e 1/44080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 831/304, 572/290.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 831/304,572/290
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 831/304,572/290, numerators are 831,572
Denominators are 304,290
The GCF of 831,572 is 1 .
LCM of 304,290 is 44080.
The greatest common factor of 831/304,572/290 = [GCF of 831,572]/[LCM of 304,290]= 1/44080
Therefore, the GCF of 831/304,572/290 is 1/44080.
To find the highest common factor of 831,572, we have to find the factors of both numbers and list the highest common factor.
The factors of 831 are 1, 3, 277, 831
The factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
The HCF of 831,572 is 1.
Lets's calculate GCF of 831,572
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 831
:1,3,277,831
Now, list down the factors of 572
:1,2,4,11,13,22,26,44,52,143,286,572
Greatest Common Factor
We found the factors 831,572 . The biggest common factor number is the GCF number.
So the greatest common factor 831,572 is 1.
Lets's calculate LCM of 304,290
2 | 304, 290 |
152, 145 |
∴ So the LCM of the given numbers is 2 x 152 x 145 = 44080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44080
Therefore, the GCF of Fractions 831/304,572/290 is 1/44080
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 304,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(304,290) x common factors =2 x 1 = 2
LCM(304,290) = ( 304 × 290 ) / 2
LCM(304,290) = 88160 / 2
LCM(304,290) = 44080
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 831,572?
The HCF of 831,572 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 831/304, 572/290?
Answer: GCF of Numerators as per given numbers 831/304, 572/290 is
GCF of Numerators i.e. for 831,572 is 1
LCM of denominators i.e. for 304,290 is 44080.
Thus, GCF of Fractions is 1/44080.Finally, GCF of Fractions for 831/304, 572/290 is 1/44080.