Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9470/101,2467/8512
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 9470,2467
Greatest Common Factor of Numerators i.e. GCF of 9470,2467 is 1 .
LCM of Denominators means LCM of 101,8512 as per the given fractions.
LCM of 101,8512 is 859712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9470,2467
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9470
List of positive integer factors of 9470 that divides 9470 without a remainder.
1,2,5,10,947,1894,4735,9470
Factors of 2467
List of positive integer factors of 2467 that divides 2467 without a remainder.
1,2467
Greatest Common Factor
We found the factors 9470,2467 . The biggest common factor number is the GCF number.
So the greatest common factor 9470,2467 is 1.
Lets's calculate LCM of 101,8512
Given numbers has no common factors except 1. So, there LCM is their product i.e 859712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/859712
Therefore, the GCF of Fractions 9470/101,2467/8512 is 1/859712
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 101,8512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,8512) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,8512) x common factors =1 x 1 = 1
LCM(101,8512) = ( 101 × 8512 ) / 1
LCM(101,8512) = 859712 / 1
LCM(101,8512) = 859712
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 9470/101, 2467/8512?
Answer: GCF of Numerators as per given numbers 9470/101, 2467/8512 is
GCF of Numerators i.e. for 9470,2467 is 1
LCM of denominators i.e. for 101,8512 is 859712.
Thus, GCF of Fractions is 1/859712.Finally, GCF of Fractions for 9470/101, 2467/8512 is 1/859712.