Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 149/728,2979/657
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 149,2979
Greatest Common Factor of Numerators i.e. GCF of 149,2979 is 1 .
LCM of Denominators means LCM of 728,657 as per the given fractions.
LCM of 728,657 is 478296 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 149,2979
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 2979
List of positive integer factors of 2979 that divides 2979 without a remainder.
1,3,9,331,993,2979
Greatest Common Factor
We found the factors 149,2979 . The biggest common factor number is the GCF number.
So the greatest common factor 149,2979 is 1.
Lets's calculate LCM of 728,657
Given numbers has no common factors except 1. So, there LCM is their product i.e 478296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/478296
Therefore, the GCF of Fractions 149/728,2979/657 is 1/478296
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 728,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,657) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(728,657) x common factors =1 x 1 = 1
LCM(728,657) = ( 728 × 657 ) / 1
LCM(728,657) = 478296 / 1
LCM(728,657) = 478296
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 149/728, 2979/657?
Answer: GCF of Numerators as per given numbers 149/728, 2979/657 is
GCF of Numerators i.e. for 149,2979 is 1
LCM of denominators i.e. for 728,657 is 478296.
Thus, GCF of Fractions is 1/478296.Finally, GCF of Fractions for 149/728, 2979/657 is 1/478296.