Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9404/433,6101/751
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 9404,6101
Greatest Common Factor of Numerators i.e. GCF of 9404,6101 is 1 .
LCM of Denominators means LCM of 433,751 as per the given fractions.
LCM of 433,751 is 325183 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9404,6101
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9404
List of positive integer factors of 9404 that divides 9404 without a remainder.
1,2,4,2351,4702,9404
Factors of 6101
List of positive integer factors of 6101 that divides 6101 without a remainder.
1,6101
Greatest Common Factor
We found the factors 9404,6101 . The biggest common factor number is the GCF number.
So the greatest common factor 9404,6101 is 1.
Lets's calculate LCM of 433,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 325183
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/325183
Therefore, the GCF of Fractions 9404/433,6101/751 is 1/325183
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 433,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,751) x common factors =1 x 1 = 1
LCM(433,751) = ( 433 × 751 ) / 1
LCM(433,751) = 325183 / 1
LCM(433,751) = 325183
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 9404/433, 6101/751?
Answer: GCF of Numerators as per given numbers 9404/433, 6101/751 is
GCF of Numerators i.e. for 9404,6101 is 1
LCM of denominators i.e. for 433,751 is 325183.
Thus, GCF of Fractions is 1/325183.Finally, GCF of Fractions for 9404/433, 6101/751 is 1/325183.