Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 758/54,929/6149
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 758,929
Greatest Common Factor of Numerators i.e. GCF of 758,929 is 1 .
LCM of Denominators means LCM of 54,6149 as per the given fractions.
LCM of 54,6149 is 332046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 758,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Greatest Common Factor
We found the factors 758,929 . The biggest common factor number is the GCF number.
So the greatest common factor 758,929 is 1.
Lets's calculate LCM of 54,6149
Given numbers has no common factors except 1. So, there LCM is their product i.e 332046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332046
Therefore, the GCF of Fractions 758/54,929/6149 is 1/332046
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 54,6149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,6149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,6149) x common factors =1 x 1 = 1
LCM(54,6149) = ( 54 × 6149 ) / 1
LCM(54,6149) = 332046 / 1
LCM(54,6149) = 332046
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 758/54, 929/6149?
Answer: GCF of Numerators as per given numbers 758/54, 929/6149 is
GCF of Numerators i.e. for 758,929 is 1
LCM of denominators i.e. for 54,6149 is 332046.
Thus, GCF of Fractions is 1/332046.Finally, GCF of Fractions for 758/54, 929/6149 is 1/332046.