Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 913/292,5826/679
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 913,5826
Greatest Common Factor of Numerators i.e. GCF of 913,5826 is 1 .
LCM of Denominators means LCM of 292,679 as per the given fractions.
LCM of 292,679 is 198268 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 913,5826
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Factors of 5826
List of positive integer factors of 5826 that divides 5826 without a remainder.
1,2,3,6,971,1942,2913,5826
Greatest Common Factor
We found the factors 913,5826 . The biggest common factor number is the GCF number.
So the greatest common factor 913,5826 is 1.
Lets's calculate LCM of 292,679
Given numbers has no common factors except 1. So, there LCM is their product i.e 198268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198268
Therefore, the GCF of Fractions 913/292,5826/679 is 1/198268
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 292,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,679) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,679) x common factors =1 x 1 = 1
LCM(292,679) = ( 292 × 679 ) / 1
LCM(292,679) = 198268 / 1
LCM(292,679) = 198268
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 913/292, 5826/679?
Answer: GCF of Numerators as per given numbers 913/292, 5826/679 is
GCF of Numerators i.e. for 913,5826 is 1
LCM of denominators i.e. for 292,679 is 198268.
Thus, GCF of Fractions is 1/198268.Finally, GCF of Fractions for 913/292, 5826/679 is 1/198268.