Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2659/705,9138/4871
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 2659,9138
Greatest Common Factor of Numerators i.e. GCF of 2659,9138 is 1 .
LCM of Denominators means LCM of 705,4871 as per the given fractions.
LCM of 705,4871 is 3434055 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2659,9138
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2659
List of positive integer factors of 2659 that divides 2659 without a remainder.
1,2659
Factors of 9138
List of positive integer factors of 9138 that divides 9138 without a remainder.
1,2,3,6,1523,3046,4569,9138
Greatest Common Factor
We found the factors 2659,9138 . The biggest common factor number is the GCF number.
So the greatest common factor 2659,9138 is 1.
Lets's calculate LCM of 705,4871
Given numbers has no common factors except 1. So, there LCM is their product i.e 3434055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3434055
Therefore, the GCF of Fractions 2659/705,9138/4871 is 1/3434055
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 705,4871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,4871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(705,4871) x common factors =1 x 1 = 1
LCM(705,4871) = ( 705 × 4871 ) / 1
LCM(705,4871) = 3434055 / 1
LCM(705,4871) = 3434055
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 2659/705, 9138/4871?
Answer: GCF of Numerators as per given numbers 2659/705, 9138/4871 is
GCF of Numerators i.e. for 2659,9138 is 1
LCM of denominators i.e. for 705,4871 is 3434055.
Thus, GCF of Fractions is 1/3434055.Finally, GCF of Fractions for 2659/705, 9138/4871 is 1/3434055.