Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 320/469,1177/934
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 320,1177
Greatest Common Factor of Numerators i.e. GCF of 320,1177 is 1 .
LCM of Denominators means LCM of 469,934 as per the given fractions.
LCM of 469,934 is 438046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 320,1177
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 1177
List of positive integer factors of 1177 that divides 1177 without a remainder.
1,11,107,1177
Greatest Common Factor
We found the factors 320,1177 . The biggest common factor number is the GCF number.
So the greatest common factor 320,1177 is 1.
Lets's calculate LCM of 469,934
Given numbers has no common factors except 1. So, there LCM is their product i.e 438046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/438046
Therefore, the GCF of Fractions 320/469,1177/934 is 1/438046
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 469,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(469,934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(469,934) x common factors =1 x 1 = 1
LCM(469,934) = ( 469 × 934 ) / 1
LCM(469,934) = 438046 / 1
LCM(469,934) = 438046
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 320/469, 1177/934?
Answer: GCF of Numerators as per given numbers 320/469, 1177/934 is
GCF of Numerators i.e. for 320,1177 is 1
LCM of denominators i.e. for 469,934 is 438046.
Thus, GCF of Fractions is 1/438046.Finally, GCF of Fractions for 320/469, 1177/934 is 1/438046.