Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3286/861,8358/893
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 3286,8358
Greatest Common Factor of Numerators i.e. GCF of 3286,8358 is 2 .
LCM of Denominators means LCM of 861,893 as per the given fractions.
LCM of 861,893 is 768873 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3286,8358
2 | 3286, 8358 |
1643, 4179 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3286
List of positive integer factors of 3286 that divides 3286 without a remainder.
1,2,31,53,62,106,1643,3286
Factors of 8358
List of positive integer factors of 8358 that divides 8358 without a remainder.
1,2,3,6,7,14,21,42,199,398,597,1194,1393,2786,4179,8358
Greatest Common Factor
We found the factors 3286,8358 . The biggest common factor number is the GCF number.
So the greatest common factor 3286,8358 is 2.
Lets's calculate LCM of 861,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 768873
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/768873
Therefore, the GCF of Fractions 3286/861,8358/893 is 2/768873
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 861,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(861,893) x common factors =1 x 1 = 1
LCM(861,893) = ( 861 × 893 ) / 1
LCM(861,893) = 768873 / 1
LCM(861,893) = 768873
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 3286/861, 8358/893?
Answer: GCF of Numerators as per given numbers 3286/861, 8358/893 is
GCF of Numerators i.e. for 3286,8358 is 2
LCM of denominators i.e. for 861,893 is 768873.
Thus, GCF of Fractions is 2/768873.Finally, GCF of Fractions for 3286/861, 8358/893 is 2/768873.