Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7346/853,1045/9010
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 7346,1045
Greatest Common Factor of Numerators i.e. GCF of 7346,1045 is 1 .
LCM of Denominators means LCM of 853,9010 as per the given fractions.
LCM of 853,9010 is 7685530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7346,1045
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7346
List of positive integer factors of 7346 that divides 7346 without a remainder.
1,2,3673,7346
Factors of 1045
List of positive integer factors of 1045 that divides 1045 without a remainder.
1,5,11,19,55,95,209,1045
Greatest Common Factor
We found the factors 7346,1045 . The biggest common factor number is the GCF number.
So the greatest common factor 7346,1045 is 1.
Lets's calculate LCM of 853,9010
Given numbers has no common factors except 1. So, there LCM is their product i.e 7685530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7685530
Therefore, the GCF of Fractions 7346/853,1045/9010 is 1/7685530
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 853,9010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(853,9010) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(853,9010) x common factors =1 x 1 = 1
LCM(853,9010) = ( 853 × 9010 ) / 1
LCM(853,9010) = 7685530 / 1
LCM(853,9010) = 7685530
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 7346/853, 1045/9010?
Answer: GCF of Numerators as per given numbers 7346/853, 1045/9010 is
GCF of Numerators i.e. for 7346,1045 is 1
LCM of denominators i.e. for 853,9010 is 7685530.
Thus, GCF of Fractions is 1/7685530.Finally, GCF of Fractions for 7346/853, 1045/9010 is 1/7685530.