Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 358/19,1858/848
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 358,1858
Greatest Common Factor of Numerators i.e. GCF of 358,1858 is 2 .
LCM of Denominators means LCM of 19,848 as per the given fractions.
LCM of 19,848 is 16112 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 358,1858
2 | 358, 1858 |
179, 929 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 1858
List of positive integer factors of 1858 that divides 1858 without a remainder.
1,2,929,1858
Greatest Common Factor
We found the factors 358,1858 . The biggest common factor number is the GCF number.
So the greatest common factor 358,1858 is 2.
Lets's calculate LCM of 19,848
Given numbers has no common factors except 1. So, there LCM is their product i.e 16112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16112
Therefore, the GCF of Fractions 358/19,1858/848 is 2/16112
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 19,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,848) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,848) x common factors =1 x 1 = 1
LCM(19,848) = ( 19 × 848 ) / 1
LCM(19,848) = 16112 / 1
LCM(19,848) = 16112
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 358/19, 1858/848?
Answer: GCF of Numerators as per given numbers 358/19, 1858/848 is
GCF of Numerators i.e. for 358,1858 is 2
LCM of denominators i.e. for 19,848 is 16112.
Thus, GCF of Fractions is 2/16112.Finally, GCF of Fractions for 358/19, 1858/848 is 2/16112.