Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8462/443,2383/696
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 8462,2383
Greatest Common Factor of Numerators i.e. GCF of 8462,2383 is 1 .
LCM of Denominators means LCM of 443,696 as per the given fractions.
LCM of 443,696 is 308328 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8462,2383
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8462
List of positive integer factors of 8462 that divides 8462 without a remainder.
1,2,4231,8462
Factors of 2383
List of positive integer factors of 2383 that divides 2383 without a remainder.
1,2383
Greatest Common Factor
We found the factors 8462,2383 . The biggest common factor number is the GCF number.
So the greatest common factor 8462,2383 is 1.
Lets's calculate LCM of 443,696
Given numbers has no common factors except 1. So, there LCM is their product i.e 308328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308328
Therefore, the GCF of Fractions 8462/443,2383/696 is 1/308328
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 443,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(443,696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(443,696) x common factors =1 x 1 = 1
LCM(443,696) = ( 443 × 696 ) / 1
LCM(443,696) = 308328 / 1
LCM(443,696) = 308328
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 8462/443, 2383/696?
Answer: GCF of Numerators as per given numbers 8462/443, 2383/696 is
GCF of Numerators i.e. for 8462,2383 is 1
LCM of denominators i.e. for 443,696 is 308328.
Thus, GCF of Fractions is 1/308328.Finally, GCF of Fractions for 8462/443, 2383/696 is 1/308328.