Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5182/355,1063/4703
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 5182,1063
Greatest Common Factor of Numerators i.e. GCF of 5182,1063 is 1 .
LCM of Denominators means LCM of 355,4703 as per the given fractions.
LCM of 355,4703 is 1669565 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5182,1063
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5182
List of positive integer factors of 5182 that divides 5182 without a remainder.
1,2,2591,5182
Factors of 1063
List of positive integer factors of 1063 that divides 1063 without a remainder.
1,1063
Greatest Common Factor
We found the factors 5182,1063 . The biggest common factor number is the GCF number.
So the greatest common factor 5182,1063 is 1.
Lets's calculate LCM of 355,4703
Given numbers has no common factors except 1. So, there LCM is their product i.e 1669565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1669565
Therefore, the GCF of Fractions 5182/355,1063/4703 is 1/1669565
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 355,4703 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,4703) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,4703) x common factors =1 x 1 = 1
LCM(355,4703) = ( 355 × 4703 ) / 1
LCM(355,4703) = 1669565 / 1
LCM(355,4703) = 1669565
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 5182/355, 1063/4703?
Answer: GCF of Numerators as per given numbers 5182/355, 1063/4703 is
GCF of Numerators i.e. for 5182,1063 is 1
LCM of denominators i.e. for 355,4703 is 1669565.
Thus, GCF of Fractions is 1/1669565.Finally, GCF of Fractions for 5182/355, 1063/4703 is 1/1669565.