Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2110/896,8101/9003
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 2110,8101
Greatest Common Factor of Numerators i.e. GCF of 2110,8101 is 1 .
LCM of Denominators means LCM of 896,9003 as per the given fractions.
LCM of 896,9003 is 8066688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2110,8101
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2110
List of positive integer factors of 2110 that divides 2110 without a remainder.
1,2,5,10,211,422,1055,2110
Factors of 8101
List of positive integer factors of 8101 that divides 8101 without a remainder.
1,8101
Greatest Common Factor
We found the factors 2110,8101 . The biggest common factor number is the GCF number.
So the greatest common factor 2110,8101 is 1.
Lets's calculate LCM of 896,9003
Given numbers has no common factors except 1. So, there LCM is their product i.e 8066688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8066688
Therefore, the GCF of Fractions 2110/896,8101/9003 is 1/8066688
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 896,9003 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,9003) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(896,9003) x common factors =1 x 1 = 1
LCM(896,9003) = ( 896 × 9003 ) / 1
LCM(896,9003) = 8066688 / 1
LCM(896,9003) = 8066688
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 2110/896, 8101/9003?
Answer: GCF of Numerators as per given numbers 2110/896, 8101/9003 is
GCF of Numerators i.e. for 2110,8101 is 1
LCM of denominators i.e. for 896,9003 is 8066688.
Thus, GCF of Fractions is 1/8066688.Finally, GCF of Fractions for 2110/896, 8101/9003 is 1/8066688.