Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2087/89,7097/808
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 2087,7097
Greatest Common Factor of Numerators i.e. GCF of 2087,7097 is 1 .
LCM of Denominators means LCM of 89,808 as per the given fractions.
LCM of 89,808 is 71912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2087,7097
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2087
List of positive integer factors of 2087 that divides 2087 without a remainder.
1,2087
Factors of 7097
List of positive integer factors of 7097 that divides 7097 without a remainder.
1,47,151,7097
Greatest Common Factor
We found the factors 2087,7097 . The biggest common factor number is the GCF number.
So the greatest common factor 2087,7097 is 1.
Lets's calculate LCM of 89,808
Given numbers has no common factors except 1. So, there LCM is their product i.e 71912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71912
Therefore, the GCF of Fractions 2087/89,7097/808 is 1/71912
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 89,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,808) x common factors =1 x 1 = 1
LCM(89,808) = ( 89 × 808 ) / 1
LCM(89,808) = 71912 / 1
LCM(89,808) = 71912
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 2087/89, 7097/808?
Answer: GCF of Numerators as per given numbers 2087/89, 7097/808 is
GCF of Numerators i.e. for 2087,7097 is 1
LCM of denominators i.e. for 89,808 is 71912.
Thus, GCF of Fractions is 1/71912.Finally, GCF of Fractions for 2087/89, 7097/808 is 1/71912.