Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 845/55,8204/933
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 845,8204
Greatest Common Factor of Numerators i.e. GCF of 845,8204 is 1 .
LCM of Denominators means LCM of 55,933 as per the given fractions.
LCM of 55,933 is 51315 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 845,8204
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 8204
List of positive integer factors of 8204 that divides 8204 without a remainder.
1,2,4,7,14,28,293,586,1172,2051,4102,8204
Greatest Common Factor
We found the factors 845,8204 . The biggest common factor number is the GCF number.
So the greatest common factor 845,8204 is 1.
Lets's calculate LCM of 55,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 51315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51315
Therefore, the GCF of Fractions 845/55,8204/933 is 1/51315
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 55,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,933) x common factors =1 x 1 = 1
LCM(55,933) = ( 55 × 933 ) / 1
LCM(55,933) = 51315 / 1
LCM(55,933) = 51315
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 845/55, 8204/933?
Answer: GCF of Numerators as per given numbers 845/55, 8204/933 is
GCF of Numerators i.e. for 845,8204 is 1
LCM of denominators i.e. for 55,933 is 51315.
Thus, GCF of Fractions is 1/51315.Finally, GCF of Fractions for 845/55, 8204/933 is 1/51315.