Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 868/125,305/369
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 868,305
Greatest Common Factor of Numerators i.e. GCF of 868,305 is 1 .
LCM of Denominators means LCM of 125,369 as per the given fractions.
LCM of 125,369 is 46125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 868,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Greatest Common Factor
We found the factors 868,305 . The biggest common factor number is the GCF number.
So the greatest common factor 868,305 is 1.
Lets's calculate LCM of 125,369
Given numbers has no common factors except 1. So, there LCM is their product i.e 46125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46125
Therefore, the GCF of Fractions 868/125,305/369 is 1/46125
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 125,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,369) x common factors =1 x 1 = 1
LCM(125,369) = ( 125 × 369 ) / 1
LCM(125,369) = 46125 / 1
LCM(125,369) = 46125
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 868/125, 305/369?
Answer: GCF of Numerators as per given numbers 868/125, 305/369 is
GCF of Numerators i.e. for 868,305 is 1
LCM of denominators i.e. for 125,369 is 46125.
Thus, GCF of Fractions is 1/46125.Finally, GCF of Fractions for 868/125, 305/369 is 1/46125.