Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1916/828,3119/2069
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 1916,3119
Greatest Common Factor of Numerators i.e. GCF of 1916,3119 is 1 .
LCM of Denominators means LCM of 828,2069 as per the given fractions.
LCM of 828,2069 is 1713132 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1916,3119
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1916
List of positive integer factors of 1916 that divides 1916 without a remainder.
1,2,4,479,958,1916
Factors of 3119
List of positive integer factors of 3119 that divides 3119 without a remainder.
1,3119
Greatest Common Factor
We found the factors 1916,3119 . The biggest common factor number is the GCF number.
So the greatest common factor 1916,3119 is 1.
Lets's calculate LCM of 828,2069
Given numbers has no common factors except 1. So, there LCM is their product i.e 1713132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1713132
Therefore, the GCF of Fractions 1916/828,3119/2069 is 1/1713132
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 828,2069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,2069) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(828,2069) x common factors =1 x 1 = 1
LCM(828,2069) = ( 828 × 2069 ) / 1
LCM(828,2069) = 1713132 / 1
LCM(828,2069) = 1713132
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 1916/828, 3119/2069?
Answer: GCF of Numerators as per given numbers 1916/828, 3119/2069 is
GCF of Numerators i.e. for 1916,3119 is 1
LCM of denominators i.e. for 828,2069 is 1713132.
Thus, GCF of Fractions is 1/1713132.Finally, GCF of Fractions for 1916/828, 3119/2069 is 1/1713132.