Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4049/967,4684/9852
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 4049,4684
Greatest Common Factor of Numerators i.e. GCF of 4049,4684 is 1 .
LCM of Denominators means LCM of 967,9852 as per the given fractions.
LCM of 967,9852 is 9526884 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4049,4684
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4049
List of positive integer factors of 4049 that divides 4049 without a remainder.
1,4049
Factors of 4684
List of positive integer factors of 4684 that divides 4684 without a remainder.
1,2,4,1171,2342,4684
Greatest Common Factor
We found the factors 4049,4684 . The biggest common factor number is the GCF number.
So the greatest common factor 4049,4684 is 1.
Lets's calculate LCM of 967,9852
Given numbers has no common factors except 1. So, there LCM is their product i.e 9526884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9526884
Therefore, the GCF of Fractions 4049/967,4684/9852 is 1/9526884
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 967,9852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,9852) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,9852) x common factors =1 x 1 = 1
LCM(967,9852) = ( 967 × 9852 ) / 1
LCM(967,9852) = 9526884 / 1
LCM(967,9852) = 9526884
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 4049/967, 4684/9852?
Answer: GCF of Numerators as per given numbers 4049/967, 4684/9852 is
GCF of Numerators i.e. for 4049,4684 is 1
LCM of denominators i.e. for 967,9852 is 9526884.
Thus, GCF of Fractions is 1/9526884.Finally, GCF of Fractions for 4049/967, 4684/9852 is 1/9526884.