Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1100/116,1025/1051
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 1100,1025
Greatest Common Factor of Numerators i.e. GCF of 1100,1025 is 25 .
LCM of Denominators means LCM of 116,1051 as per the given fractions.
LCM of 116,1051 is 121916 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1100,1025
5 | 1100, 1025 |
5 | 220, 205 |
44, 41 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Factors of 1100
List of positive integer factors of 1100 that divides 1100 without a remainder.
1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100
Factors of 1025
List of positive integer factors of 1025 that divides 1025 without a remainder.
1,5,25,41,205,1025
Greatest Common Factor
We found the factors 1100,1025 . The biggest common factor number is the GCF number.
So the greatest common factor 1100,1025 is 25.
Lets's calculate LCM of 116,1051
Given numbers has no common factors except 1. So, there LCM is their product i.e 121916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/121916
Therefore, the GCF of Fractions 1100/116,1025/1051 is 25/121916
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 116,1051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,1051) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(116,1051) x common factors =1 x 1 = 1
LCM(116,1051) = ( 116 × 1051 ) / 1
LCM(116,1051) = 121916 / 1
LCM(116,1051) = 121916
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 1100/116, 1025/1051?
Answer: GCF of Numerators as per given numbers 1100/116, 1025/1051 is
GCF of Numerators i.e. for 1100,1025 is 25
LCM of denominators i.e. for 116,1051 is 121916.
Thus, GCF of Fractions is 25/121916.Finally, GCF of Fractions for 1100/116, 1025/1051 is 25/121916.