Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 717/686,4734/443
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 717,4734
Greatest Common Factor of Numerators i.e. GCF of 717,4734 is 3 .
LCM of Denominators means LCM of 686,443 as per the given fractions.
LCM of 686,443 is 303898 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 717,4734
3 | 717, 4734 |
239, 1578 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Factors of 4734
List of positive integer factors of 4734 that divides 4734 without a remainder.
1,2,3,6,9,18,263,526,789,1578,2367,4734
Greatest Common Factor
We found the factors 717,4734 . The biggest common factor number is the GCF number.
So the greatest common factor 717,4734 is 3.
Lets's calculate LCM of 686,443
Given numbers has no common factors except 1. So, there LCM is their product i.e 303898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/303898
Therefore, the GCF of Fractions 717/686,4734/443 is 3/303898
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 686,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,443) x common factors =1 x 1 = 1
LCM(686,443) = ( 686 × 443 ) / 1
LCM(686,443) = 303898 / 1
LCM(686,443) = 303898
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 717/686, 4734/443?
Answer: GCF of Numerators as per given numbers 717/686, 4734/443 is
GCF of Numerators i.e. for 717,4734 is 3
LCM of denominators i.e. for 686,443 is 303898.
Thus, GCF of Fractions is 3/303898.Finally, GCF of Fractions for 717/686, 4734/443 is 3/303898.