Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7906/360,9495/4723
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 7906,9495
Greatest Common Factor of Numerators i.e. GCF of 7906,9495 is 1 .
LCM of Denominators means LCM of 360,4723 as per the given fractions.
LCM of 360,4723 is 1700280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7906,9495
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7906
List of positive integer factors of 7906 that divides 7906 without a remainder.
1,2,59,67,118,134,3953,7906
Factors of 9495
List of positive integer factors of 9495 that divides 9495 without a remainder.
1,3,5,9,15,45,211,633,1055,1899,3165,9495
Greatest Common Factor
We found the factors 7906,9495 . The biggest common factor number is the GCF number.
So the greatest common factor 7906,9495 is 1.
Lets's calculate LCM of 360,4723
Given numbers has no common factors except 1. So, there LCM is their product i.e 1700280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1700280
Therefore, the GCF of Fractions 7906/360,9495/4723 is 1/1700280
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 360,4723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,4723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(360,4723) x common factors =1 x 1 = 1
LCM(360,4723) = ( 360 × 4723 ) / 1
LCM(360,4723) = 1700280 / 1
LCM(360,4723) = 1700280
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 7906/360, 9495/4723?
Answer: GCF of Numerators as per given numbers 7906/360, 9495/4723 is
GCF of Numerators i.e. for 7906,9495 is 1
LCM of denominators i.e. for 360,4723 is 1700280.
Thus, GCF of Fractions is 1/1700280.Finally, GCF of Fractions for 7906/360, 9495/4723 is 1/1700280.