Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2971/43,9075/977
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 2971,9075
Greatest Common Factor of Numerators i.e. GCF of 2971,9075 is 1 .
LCM of Denominators means LCM of 43,977 as per the given fractions.
LCM of 43,977 is 42011 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2971,9075
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2971
List of positive integer factors of 2971 that divides 2971 without a remainder.
1,2971
Factors of 9075
List of positive integer factors of 9075 that divides 9075 without a remainder.
1,3,5,11,15,25,33,55,75,121,165,275,363,605,825,1815,3025,9075
Greatest Common Factor
We found the factors 2971,9075 . The biggest common factor number is the GCF number.
So the greatest common factor 2971,9075 is 1.
Lets's calculate LCM of 43,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 42011
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42011
Therefore, the GCF of Fractions 2971/43,9075/977 is 1/42011
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 43,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,977) x common factors =1 x 1 = 1
LCM(43,977) = ( 43 × 977 ) / 1
LCM(43,977) = 42011 / 1
LCM(43,977) = 42011
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 2971/43, 9075/977?
Answer: GCF of Numerators as per given numbers 2971/43, 9075/977 is
GCF of Numerators i.e. for 2971,9075 is 1
LCM of denominators i.e. for 43,977 is 42011.
Thus, GCF of Fractions is 1/42011.Finally, GCF of Fractions for 2971/43, 9075/977 is 1/42011.