Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9470/966,4227/1805
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 9470,4227
Greatest Common Factor of Numerators i.e. GCF of 9470,4227 is 1 .
LCM of Denominators means LCM of 966,1805 as per the given fractions.
LCM of 966,1805 is 1743630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9470,4227
∴ 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 4227
List of positive integer factors of 4227 that divides 4227 without a remainder.
1,3,1409,4227
Greatest Common Factor
We found the factors 9470,4227 . The biggest common factor number is the GCF number.
So the greatest common factor 9470,4227 is 1.
Lets's calculate LCM of 966,1805
Given numbers has no common factors except 1. So, there LCM is their product i.e 1743630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1743630
Therefore, the GCF of Fractions 9470/966,4227/1805 is 1/1743630
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 966,1805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,1805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(966,1805) x common factors =1 x 1 = 1
LCM(966,1805) = ( 966 × 1805 ) / 1
LCM(966,1805) = 1743630 / 1
LCM(966,1805) = 1743630
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 9470/966, 4227/1805?
Answer: GCF of Numerators as per given numbers 9470/966, 4227/1805 is
GCF of Numerators i.e. for 9470,4227 is 1
LCM of denominators i.e. for 966,1805 is 1743630.
Thus, GCF of Fractions is 1/1743630.Finally, GCF of Fractions for 9470/966, 4227/1805 is 1/1743630.