Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1365/912,2188/7115
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 1365,2188
Greatest Common Factor of Numerators i.e. GCF of 1365,2188 is 1 .
LCM of Denominators means LCM of 912,7115 as per the given fractions.
LCM of 912,7115 is 6488880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1365,2188
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1365
List of positive integer factors of 1365 that divides 1365 without a remainder.
1,3,5,7,13,15,21,35,39,65,91,105,195,273,455,1365
Factors of 2188
List of positive integer factors of 2188 that divides 2188 without a remainder.
1,2,4,547,1094,2188
Greatest Common Factor
We found the factors 1365,2188 . The biggest common factor number is the GCF number.
So the greatest common factor 1365,2188 is 1.
Lets's calculate LCM of 912,7115
Given numbers has no common factors except 1. So, there LCM is their product i.e 6488880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6488880
Therefore, the GCF of Fractions 1365/912,2188/7115 is 1/6488880
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 912,7115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,7115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(912,7115) x common factors =1 x 1 = 1
LCM(912,7115) = ( 912 × 7115 ) / 1
LCM(912,7115) = 6488880 / 1
LCM(912,7115) = 6488880
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 1365/912, 2188/7115?
Answer: GCF of Numerators as per given numbers 1365/912, 2188/7115 is
GCF of Numerators i.e. for 1365,2188 is 1
LCM of denominators i.e. for 912,7115 is 6488880.
Thus, GCF of Fractions is 1/6488880.Finally, GCF of Fractions for 1365/912, 2188/7115 is 1/6488880.