Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 468/8511,409/5138
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 468,409
Greatest Common Factor of Numerators i.e. GCF of 468,409 is 1 .
LCM of Denominators means LCM of 8511,5138 as per the given fractions.
LCM of 8511,5138 is 43729518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 468,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 409
List of positive integer factors of 409 that divides 409 without a remainder.
1,409
Greatest Common Factor
We found the factors 468,409 . The biggest common factor number is the GCF number.
So the greatest common factor 468,409 is 1.
Lets's calculate LCM of 8511,5138
Given numbers has no common factors except 1. So, there LCM is their product i.e 43729518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/43729518
Therefore, the GCF of Fractions 468/8511,409/5138 is 1/43729518
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 8511,5138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8511,5138) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8511,5138) x common factors =1 x 1 = 1
LCM(8511,5138) = ( 8511 × 5138 ) / 1
LCM(8511,5138) = 43729518 / 1
LCM(8511,5138) = 43729518
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 468/8511, 409/5138?
Answer: GCF of Numerators as per given numbers 468/8511, 409/5138 is
GCF of Numerators i.e. for 468,409 is 1
LCM of denominators i.e. for 8511,5138 is 43729518.
Thus, GCF of Fractions is 1/43729518.Finally, GCF of Fractions for 468/8511, 409/5138 is 1/43729518.