Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8518/802,6351/383
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 8518,6351
Greatest Common Factor of Numerators i.e. GCF of 8518,6351 is 1 .
LCM of Denominators means LCM of 802,383 as per the given fractions.
LCM of 802,383 is 307166 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8518,6351
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8518
List of positive integer factors of 8518 that divides 8518 without a remainder.
1,2,4259,8518
Factors of 6351
List of positive integer factors of 6351 that divides 6351 without a remainder.
1,3,29,73,87,219,2117,6351
Greatest Common Factor
We found the factors 8518,6351 . The biggest common factor number is the GCF number.
So the greatest common factor 8518,6351 is 1.
Lets's calculate LCM of 802,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 307166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307166
Therefore, the GCF of Fractions 8518/802,6351/383 is 1/307166
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 802,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(802,383) x common factors =1 x 1 = 1
LCM(802,383) = ( 802 × 383 ) / 1
LCM(802,383) = 307166 / 1
LCM(802,383) = 307166
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 8518/802, 6351/383?
Answer: GCF of Numerators as per given numbers 8518/802, 6351/383 is
GCF of Numerators i.e. for 8518,6351 is 1
LCM of denominators i.e. for 802,383 is 307166.
Thus, GCF of Fractions is 1/307166.Finally, GCF of Fractions for 8518/802, 6351/383 is 1/307166.