Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8312/289,7013/2060
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 8312,7013
Greatest Common Factor of Numerators i.e. GCF of 8312,7013 is 1 .
LCM of Denominators means LCM of 289,2060 as per the given fractions.
LCM of 289,2060 is 595340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8312,7013
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8312
List of positive integer factors of 8312 that divides 8312 without a remainder.
1,2,4,8,1039,2078,4156,8312
Factors of 7013
List of positive integer factors of 7013 that divides 7013 without a remainder.
1,7013
Greatest Common Factor
We found the factors 8312,7013 . The biggest common factor number is the GCF number.
So the greatest common factor 8312,7013 is 1.
Lets's calculate LCM of 289,2060
Given numbers has no common factors except 1. So, there LCM is their product i.e 595340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/595340
Therefore, the GCF of Fractions 8312/289,7013/2060 is 1/595340
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 289,2060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,2060) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,2060) x common factors =1 x 1 = 1
LCM(289,2060) = ( 289 × 2060 ) / 1
LCM(289,2060) = 595340 / 1
LCM(289,2060) = 595340
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 8312/289, 7013/2060?
Answer: GCF of Numerators as per given numbers 8312/289, 7013/2060 is
GCF of Numerators i.e. for 8312,7013 is 1
LCM of denominators i.e. for 289,2060 is 595340.
Thus, GCF of Fractions is 1/595340.Finally, GCF of Fractions for 8312/289, 7013/2060 is 1/595340.