Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7245/105,5392/979
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 7245,5392
Greatest Common Factor of Numerators i.e. GCF of 7245,5392 is 1 .
LCM of Denominators means LCM of 105,979 as per the given fractions.
LCM of 105,979 is 102795 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7245,5392
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7245
List of positive integer factors of 7245 that divides 7245 without a remainder.
1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245
Factors of 5392
List of positive integer factors of 5392 that divides 5392 without a remainder.
1,2,4,8,16,337,674,1348,2696,5392
Greatest Common Factor
We found the factors 7245,5392 . The biggest common factor number is the GCF number.
So the greatest common factor 7245,5392 is 1.
Lets's calculate LCM of 105,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 102795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102795
Therefore, the GCF of Fractions 7245/105,5392/979 is 1/102795
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 105,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,979) x common factors =1 x 1 = 1
LCM(105,979) = ( 105 × 979 ) / 1
LCM(105,979) = 102795 / 1
LCM(105,979) = 102795
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 7245/105, 5392/979?
Answer: GCF of Numerators as per given numbers 7245/105, 5392/979 is
GCF of Numerators i.e. for 7245,5392 is 1
LCM of denominators i.e. for 105,979 is 102795.
Thus, GCF of Fractions is 1/102795.Finally, GCF of Fractions for 7245/105, 5392/979 is 1/102795.