Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1155/82,4588/898
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 1155,4588
Greatest Common Factor of Numerators i.e. GCF of 1155,4588 is 1 .
LCM of Denominators means LCM of 82,898 as per the given fractions.
LCM of 82,898 is 36818 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1155,4588
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1155
List of positive integer factors of 1155 that divides 1155 without a remainder.
1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155
Factors of 4588
List of positive integer factors of 4588 that divides 4588 without a remainder.
1,2,4,31,37,62,74,124,148,1147,2294,4588
Greatest Common Factor
We found the factors 1155,4588 . The biggest common factor number is the GCF number.
So the greatest common factor 1155,4588 is 1.
Lets's calculate LCM of 82,898
2 | 82, 898 |
41, 449 |
∴ So the LCM of the given numbers is 2 x 41 x 449 = 36818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36818
Therefore, the GCF of Fractions 1155/82,4588/898 is 1/36818
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 82,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(82,898) x common factors =2 x 1 = 2
LCM(82,898) = ( 82 × 898 ) / 2
LCM(82,898) = 73636 / 2
LCM(82,898) = 36818
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 1155/82, 4588/898?
Answer: GCF of Numerators as per given numbers 1155/82, 4588/898 is
GCF of Numerators i.e. for 1155,4588 is 1
LCM of denominators i.e. for 82,898 is 36818.
Thus, GCF of Fractions is 1/36818.Finally, GCF of Fractions for 1155/82, 4588/898 is 1/36818.