Use our free GCF of Fractions Calculator tool to compute the GCF of 9790/309, 3433/5976 i.e 1/615528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9790/309, 3433/5976.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9790/309,3433/5976
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 9790/309,3433/5976, numerators are 9790,3433
Denominators are 309,5976
The GCF of 9790,3433 is 1 .
LCM of 309,5976 is 615528.
The greatest common factor of 9790/309,3433/5976 = [GCF of 9790,3433]/[LCM of 309,5976]= 1/615528
Therefore, the GCF of 9790/309,3433/5976 is 1/615528.
To find the highest common factor of 9790,3433, we have to find the factors of both numbers and list the highest common factor.
The factors of 9790 are 1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790
The factors of 3433 are 1, 3433
The HCF of 9790,3433 is 1.
Lets's calculate GCF of 9790,3433
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9790
:1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790
Now, list down the factors of 3433
:1,3433
Greatest Common Factor
We found the factors 9790,3433 . The biggest common factor number is the GCF number.
So the greatest common factor 9790,3433 is 1.
Lets's calculate LCM of 309,5976
3 | 309, 5976 |
103, 1992 |
∴ So the LCM of the given numbers is 3 x 103 x 1992 = 615528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/615528
Therefore, the GCF of Fractions 9790/309,3433/5976 is 1/615528
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 309,5976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,5976) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,5976) x common factors =3 x 1 = 3
LCM(309,5976) = ( 309 × 5976 ) / 3
LCM(309,5976) = 1846584 / 3
LCM(309,5976) = 615528
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9790,3433?
The HCF of 9790,3433 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 9790/309, 3433/5976?
Answer: GCF of Numerators as per given numbers 9790/309, 3433/5976 is
GCF of Numerators i.e. for 9790,3433 is 1
LCM of denominators i.e. for 309,5976 is 615528.
Thus, GCF of Fractions is 1/615528.Finally, GCF of Fractions for 9790/309, 3433/5976 is 1/615528.