Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4322/346,3531/7817
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 4322,3531
Greatest Common Factor of Numerators i.e. GCF of 4322,3531 is 1 .
LCM of Denominators means LCM of 346,7817 as per the given fractions.
LCM of 346,7817 is 2704682 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4322,3531
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4322
List of positive integer factors of 4322 that divides 4322 without a remainder.
1,2,2161,4322
Factors of 3531
List of positive integer factors of 3531 that divides 3531 without a remainder.
1,3,11,33,107,321,1177,3531
Greatest Common Factor
We found the factors 4322,3531 . The biggest common factor number is the GCF number.
So the greatest common factor 4322,3531 is 1.
Lets's calculate LCM of 346,7817
Given numbers has no common factors except 1. So, there LCM is their product i.e 2704682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2704682
Therefore, the GCF of Fractions 4322/346,3531/7817 is 1/2704682
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 346,7817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,7817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,7817) x common factors =1 x 1 = 1
LCM(346,7817) = ( 346 × 7817 ) / 1
LCM(346,7817) = 2704682 / 1
LCM(346,7817) = 2704682
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 4322/346, 3531/7817?
Answer: GCF of Numerators as per given numbers 4322/346, 3531/7817 is
GCF of Numerators i.e. for 4322,3531 is 1
LCM of denominators i.e. for 346,7817 is 2704682.
Thus, GCF of Fractions is 1/2704682.Finally, GCF of Fractions for 4322/346, 3531/7817 is 1/2704682.