Use our free GCF of Fractions Calculator tool to compute the GCF of 353/418, 863/719 i.e 1/300542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 353/418, 863/719.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 353/418,863/719
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 353/418,863/719, numerators are 353,863
Denominators are 418,719
The GCF of 353,863 is 1 .
LCM of 418,719 is 300542.
The greatest common factor of 353/418,863/719 = [GCF of 353,863]/[LCM of 418,719]= 1/300542
Therefore, the GCF of 353/418,863/719 is 1/300542.
To find the highest common factor of 353,863, we have to find the factors of both numbers and list the highest common factor.
The factors of 353 are 1, 353
The factors of 863 are 1, 863
The HCF of 353,863 is 1.
Lets's calculate GCF of 353,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 353
:1,353
Now, list down the factors of 863
:1,863
Greatest Common Factor
We found the factors 353,863 . The biggest common factor number is the GCF number.
So the greatest common factor 353,863 is 1.
Lets's calculate LCM of 418,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 300542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300542
Therefore, the GCF of Fractions 353/418,863/719 is 1/300542
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 418,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(418,719) x common factors =1 x 1 = 1
LCM(418,719) = ( 418 × 719 ) / 1
LCM(418,719) = 300542 / 1
LCM(418,719) = 300542
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 353,863?
The HCF of 353,863 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 353/418, 863/719?
Answer: GCF of Numerators as per given numbers 353/418, 863/719 is
GCF of Numerators i.e. for 353,863 is 1
LCM of denominators i.e. for 418,719 is 300542.
Thus, GCF of Fractions is 1/300542.Finally, GCF of Fractions for 353/418, 863/719 is 1/300542.