Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2902/260,9446/7817
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 2902,9446
Greatest Common Factor of Numerators i.e. GCF of 2902,9446 is 2 .
LCM of Denominators means LCM of 260,7817 as per the given fractions.
LCM of 260,7817 is 2032420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2902,9446
2 | 2902, 9446 |
1451, 4723 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2902
List of positive integer factors of 2902 that divides 2902 without a remainder.
1,2,1451,2902
Factors of 9446
List of positive integer factors of 9446 that divides 9446 without a remainder.
1,2,4723,9446
Greatest Common Factor
We found the factors 2902,9446 . The biggest common factor number is the GCF number.
So the greatest common factor 2902,9446 is 2.
Lets's calculate LCM of 260,7817
Given numbers has no common factors except 1. So, there LCM is their product i.e 2032420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2032420
Therefore, the GCF of Fractions 2902/260,9446/7817 is 2/2032420
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 260,7817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,7817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(260,7817) x common factors =1 x 1 = 1
LCM(260,7817) = ( 260 × 7817 ) / 1
LCM(260,7817) = 2032420 / 1
LCM(260,7817) = 2032420
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 2902/260, 9446/7817?
Answer: GCF of Numerators as per given numbers 2902/260, 9446/7817 is
GCF of Numerators i.e. for 2902,9446 is 2
LCM of denominators i.e. for 260,7817 is 2032420.
Thus, GCF of Fractions is 2/2032420.Finally, GCF of Fractions for 2902/260, 9446/7817 is 2/2032420.