Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7929/799,1898/2059
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 7929,1898
Greatest Common Factor of Numerators i.e. GCF of 7929,1898 is 1 .
LCM of Denominators means LCM of 799,2059 as per the given fractions.
LCM of 799,2059 is 1645141 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7929,1898
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7929
List of positive integer factors of 7929 that divides 7929 without a remainder.
1,3,9,881,2643,7929
Factors of 1898
List of positive integer factors of 1898 that divides 1898 without a remainder.
1,2,13,26,73,146,949,1898
Greatest Common Factor
We found the factors 7929,1898 . The biggest common factor number is the GCF number.
So the greatest common factor 7929,1898 is 1.
Lets's calculate LCM of 799,2059
Given numbers has no common factors except 1. So, there LCM is their product i.e 1645141
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1645141
Therefore, the GCF of Fractions 7929/799,1898/2059 is 1/1645141
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 799,2059 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,2059) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(799,2059) x common factors =1 x 1 = 1
LCM(799,2059) = ( 799 × 2059 ) / 1
LCM(799,2059) = 1645141 / 1
LCM(799,2059) = 1645141
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 7929/799, 1898/2059?
Answer: GCF of Numerators as per given numbers 7929/799, 1898/2059 is
GCF of Numerators i.e. for 7929,1898 is 1
LCM of denominators i.e. for 799,2059 is 1645141.
Thus, GCF of Fractions is 1/1645141.Finally, GCF of Fractions for 7929/799, 1898/2059 is 1/1645141.