Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8647/943,6018/182
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 8647,6018
Greatest Common Factor of Numerators i.e. GCF of 8647,6018 is 1 .
LCM of Denominators means LCM of 943,182 as per the given fractions.
LCM of 943,182 is 171626 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8647,6018
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8647
List of positive integer factors of 8647 that divides 8647 without a remainder.
1,8647
Factors of 6018
List of positive integer factors of 6018 that divides 6018 without a remainder.
1,2,3,6,17,34,51,59,102,118,177,354,1003,2006,3009,6018
Greatest Common Factor
We found the factors 8647,6018 . The biggest common factor number is the GCF number.
So the greatest common factor 8647,6018 is 1.
Lets's calculate LCM of 943,182
Given numbers has no common factors except 1. So, there LCM is their product i.e 171626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171626
Therefore, the GCF of Fractions 8647/943,6018/182 is 1/171626
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 943,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,182) x common factors =1 x 1 = 1
LCM(943,182) = ( 943 × 182 ) / 1
LCM(943,182) = 171626 / 1
LCM(943,182) = 171626
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 8647/943, 6018/182?
Answer: GCF of Numerators as per given numbers 8647/943, 6018/182 is
GCF of Numerators i.e. for 8647,6018 is 1
LCM of denominators i.e. for 943,182 is 171626.
Thus, GCF of Fractions is 1/171626.Finally, GCF of Fractions for 8647/943, 6018/182 is 1/171626.