Use our free GCF of Fractions Calculator tool to compute the GCF of 358/403, 286/686 i.e 2/276458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 358/403, 286/686.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 358/403,286/686
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 358/403,286/686, numerators are 358,286
Denominators are 403,686
The GCF of 358,286 is 2 .
LCM of 403,686 is 276458.
The greatest common factor of 358/403,286/686 = [GCF of 358,286]/[LCM of 403,686]= 2/276458
Therefore, the GCF of 358/403,286/686 is 2/276458.
To find the highest common factor of 358,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 358 are 1, 2, 179, 358
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 358,286 is 2.
Lets's calculate GCF of 358,286
2 | 358, 286 |
179, 143 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 358
:1,2,179,358
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 358,286 . The biggest common factor number is the GCF number.
So the greatest common factor 358,286 is 2.
Lets's calculate LCM of 403,686
Given numbers has no common factors except 1. So, there LCM is their product i.e 276458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/276458
Therefore, the GCF of Fractions 358/403,286/686 is 2/276458
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 403,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,686) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,686) x common factors =1 x 1 = 1
LCM(403,686) = ( 403 × 686 ) / 1
LCM(403,686) = 276458 / 1
LCM(403,686) = 276458
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 358,286?
The HCF of 358,286 is 2
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 358/403, 286/686?
Answer: GCF of Numerators as per given numbers 358/403, 286/686 is
GCF of Numerators i.e. for 358,286 is 2
LCM of denominators i.e. for 403,686 is 276458.
Thus, GCF of Fractions is 2/276458.Finally, GCF of Fractions for 358/403, 286/686 is 2/276458.