Use our free GCF of Fractions Calculator tool to compute the GCF of 8659/562, 3451/2994 i.e 7/841314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8659/562, 3451/2994.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8659/562,3451/2994
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 8659/562,3451/2994, numerators are 8659,3451
Denominators are 562,2994
The GCF of 8659,3451 is 7 .
LCM of 562,2994 is 841314.
The greatest common factor of 8659/562,3451/2994 = [GCF of 8659,3451]/[LCM of 562,2994]= 7/841314
Therefore, the GCF of 8659/562,3451/2994 is 7/841314.
To find the highest common factor of 8659,3451, we have to find the factors of both numbers and list the highest common factor.
The factors of 8659 are 1, 7, 1237, 8659
The factors of 3451 are 1, 7, 17, 29, 119, 203, 493, 3451
The HCF of 8659,3451 is 7.
Lets's calculate GCF of 8659,3451
7 | 8659, 3451 |
1237, 493 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 8659
:1,7,1237,8659
Now, list down the factors of 3451
:1,7,17,29,119,203,493,3451
Greatest Common Factor
We found the factors 8659,3451 . The biggest common factor number is the GCF number.
So the greatest common factor 8659,3451 is 7.
Lets's calculate LCM of 562,2994
2 | 562, 2994 |
281, 1497 |
∴ So the LCM of the given numbers is 2 x 281 x 1497 = 841314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/841314
Therefore, the GCF of Fractions 8659/562,3451/2994 is 7/841314
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 562,2994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,2994) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,2994) x common factors =2 x 1 = 2
LCM(562,2994) = ( 562 × 2994 ) / 2
LCM(562,2994) = 1682628 / 2
LCM(562,2994) = 841314
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8659,3451?
The HCF of 8659,3451 is 7
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 8659/562, 3451/2994?
Answer: GCF of Numerators as per given numbers 8659/562, 3451/2994 is
GCF of Numerators i.e. for 8659,3451 is 7
LCM of denominators i.e. for 562,2994 is 841314.
Thus, GCF of Fractions is 7/841314.Finally, GCF of Fractions for 8659/562, 3451/2994 is 7/841314.