Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4987/82,3171/705
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 4987,3171
Greatest Common Factor of Numerators i.e. GCF of 4987,3171 is 1 .
LCM of Denominators means LCM of 82,705 as per the given fractions.
LCM of 82,705 is 57810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4987,3171
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4987
List of positive integer factors of 4987 that divides 4987 without a remainder.
1,4987
Factors of 3171
List of positive integer factors of 3171 that divides 3171 without a remainder.
1,3,7,21,151,453,1057,3171
Greatest Common Factor
We found the factors 4987,3171 . The biggest common factor number is the GCF number.
So the greatest common factor 4987,3171 is 1.
Lets's calculate LCM of 82,705
Given numbers has no common factors except 1. So, there LCM is their product i.e 57810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57810
Therefore, the GCF of Fractions 4987/82,3171/705 is 1/57810
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 82,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,705) x common factors =1 x 1 = 1
LCM(82,705) = ( 82 × 705 ) / 1
LCM(82,705) = 57810 / 1
LCM(82,705) = 57810
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 4987/82, 3171/705?
Answer: GCF of Numerators as per given numbers 4987/82, 3171/705 is
GCF of Numerators i.e. for 4987,3171 is 1
LCM of denominators i.e. for 82,705 is 57810.
Thus, GCF of Fractions is 1/57810.Finally, GCF of Fractions for 4987/82, 3171/705 is 1/57810.