Use our free GCF of Fractions Calculator tool to compute the GCF of 659/824, 716/618 i.e 1/2472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 659/824, 716/618.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 659/824,716/618
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 659/824,716/618, numerators are 659,716
Denominators are 824,618
The GCF of 659,716 is 1 .
LCM of 824,618 is 2472.
The greatest common factor of 659/824,716/618 = [GCF of 659,716]/[LCM of 824,618]= 1/2472
Therefore, the GCF of 659/824,716/618 is 1/2472.
To find the highest common factor of 659,716, we have to find the factors of both numbers and list the highest common factor.
The factors of 659 are 1, 659
The factors of 716 are 1, 2, 4, 179, 358, 716
The HCF of 659,716 is 1.
Lets's calculate GCF of 659,716
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 659
:1,659
Now, list down the factors of 716
:1,2,4,179,358,716
Greatest Common Factor
We found the factors 659,716 . The biggest common factor number is the GCF number.
So the greatest common factor 659,716 is 1.
Lets's calculate LCM of 824,618
2 | 824, 618 |
103 | 412, 309 |
4, 3 |
∴ So the LCM of the given numbers is 2 x 103 x 4 x 3 = 2472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2472
Therefore, the GCF of Fractions 659/824,716/618 is 1/2472
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 824,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,618) = 206
common factors(in case of two or more numbers have common factors) = 1
GCF(824,618) x common factors =206 x 1 = 206
LCM(824,618) = ( 824 × 618 ) / 206
LCM(824,618) = 509232 / 206
LCM(824,618) = 2472
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 659,716?
The HCF of 659,716 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 659/824, 716/618?
Answer: GCF of Numerators as per given numbers 659/824, 716/618 is
GCF of Numerators i.e. for 659,716 is 1
LCM of denominators i.e. for 824,618 is 2472.
Thus, GCF of Fractions is 1/2472.Finally, GCF of Fractions for 659/824, 716/618 is 1/2472.