Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5647/882,9725/415
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 5647,9725
Greatest Common Factor of Numerators i.e. GCF of 5647,9725 is 1 .
LCM of Denominators means LCM of 882,415 as per the given fractions.
LCM of 882,415 is 366030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5647,9725
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5647
List of positive integer factors of 5647 that divides 5647 without a remainder.
1,5647
Factors of 9725
List of positive integer factors of 9725 that divides 9725 without a remainder.
1,5,25,389,1945,9725
Greatest Common Factor
We found the factors 5647,9725 . The biggest common factor number is the GCF number.
So the greatest common factor 5647,9725 is 1.
Lets's calculate LCM of 882,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 366030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366030
Therefore, the GCF of Fractions 5647/882,9725/415 is 1/366030
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 882,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(882,415) x common factors =1 x 1 = 1
LCM(882,415) = ( 882 × 415 ) / 1
LCM(882,415) = 366030 / 1
LCM(882,415) = 366030
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 5647/882, 9725/415?
Answer: GCF of Numerators as per given numbers 5647/882, 9725/415 is
GCF of Numerators i.e. for 5647,9725 is 1
LCM of denominators i.e. for 882,415 is 366030.
Thus, GCF of Fractions is 1/366030.Finally, GCF of Fractions for 5647/882, 9725/415 is 1/366030.