Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7052/10,4163/279
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 7052,4163
Greatest Common Factor of Numerators i.e. GCF of 7052,4163 is 1 .
LCM of Denominators means LCM of 10,279 as per the given fractions.
LCM of 10,279 is 2790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7052,4163
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7052
List of positive integer factors of 7052 that divides 7052 without a remainder.
1,2,4,41,43,82,86,164,172,1763,3526,7052
Factors of 4163
List of positive integer factors of 4163 that divides 4163 without a remainder.
1,23,181,4163
Greatest Common Factor
We found the factors 7052,4163 . The biggest common factor number is the GCF number.
So the greatest common factor 7052,4163 is 1.
Lets's calculate LCM of 10,279
Given numbers has no common factors except 1. So, there LCM is their product i.e 2790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2790
Therefore, the GCF of Fractions 7052/10,4163/279 is 1/2790
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 10,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,279) x common factors =1 x 1 = 1
LCM(10,279) = ( 10 × 279 ) / 1
LCM(10,279) = 2790 / 1
LCM(10,279) = 2790
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 7052/10, 4163/279?
Answer: GCF of Numerators as per given numbers 7052/10, 4163/279 is
GCF of Numerators i.e. for 7052,4163 is 1
LCM of denominators i.e. for 10,279 is 2790.
Thus, GCF of Fractions is 1/2790.Finally, GCF of Fractions for 7052/10, 4163/279 is 1/2790.