Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8033/292,5148/921
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 8033,5148
Greatest Common Factor of Numerators i.e. GCF of 8033,5148 is 1 .
LCM of Denominators means LCM of 292,921 as per the given fractions.
LCM of 292,921 is 268932 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8033,5148
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8033
List of positive integer factors of 8033 that divides 8033 without a remainder.
1,29,277,8033
Factors of 5148
List of positive integer factors of 5148 that divides 5148 without a remainder.
1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148
Greatest Common Factor
We found the factors 8033,5148 . The biggest common factor number is the GCF number.
So the greatest common factor 8033,5148 is 1.
Lets's calculate LCM of 292,921
Given numbers has no common factors except 1. So, there LCM is their product i.e 268932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268932
Therefore, the GCF of Fractions 8033/292,5148/921 is 1/268932
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 292,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,921) x common factors =1 x 1 = 1
LCM(292,921) = ( 292 × 921 ) / 1
LCM(292,921) = 268932 / 1
LCM(292,921) = 268932
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 8033/292, 5148/921?
Answer: GCF of Numerators as per given numbers 8033/292, 5148/921 is
GCF of Numerators i.e. for 8033,5148 is 1
LCM of denominators i.e. for 292,921 is 268932.
Thus, GCF of Fractions is 1/268932.Finally, GCF of Fractions for 8033/292, 5148/921 is 1/268932.