Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1088/35,2899/845
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 1088,2899
Greatest Common Factor of Numerators i.e. GCF of 1088,2899 is 1 .
LCM of Denominators means LCM of 35,845 as per the given fractions.
LCM of 35,845 is 5915 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1088,2899
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1088
List of positive integer factors of 1088 that divides 1088 without a remainder.
1,2,4,8,16,17,32,34,64,68,136,272,544,1088
Factors of 2899
List of positive integer factors of 2899 that divides 2899 without a remainder.
1,13,223,2899
Greatest Common Factor
We found the factors 1088,2899 . The biggest common factor number is the GCF number.
So the greatest common factor 1088,2899 is 1.
Lets's calculate LCM of 35,845
5 | 35, 845 |
7, 169 |
∴ So the LCM of the given numbers is 5 x 7 x 169 = 5915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5915
Therefore, the GCF of Fractions 1088/35,2899/845 is 1/5915
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 35,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,845) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(35,845) x common factors =5 x 1 = 5
LCM(35,845) = ( 35 × 845 ) / 5
LCM(35,845) = 29575 / 5
LCM(35,845) = 5915
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 1088/35, 2899/845?
Answer: GCF of Numerators as per given numbers 1088/35, 2899/845 is
GCF of Numerators i.e. for 1088,2899 is 1
LCM of denominators i.e. for 35,845 is 5915.
Thus, GCF of Fractions is 1/5915.Finally, GCF of Fractions for 1088/35, 2899/845 is 1/5915.