Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 489/35,9386/223
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 489,9386
Greatest Common Factor of Numerators i.e. GCF of 489,9386 is 1 .
LCM of Denominators means LCM of 35,223 as per the given fractions.
LCM of 35,223 is 7805 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 489,9386
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 9386
List of positive integer factors of 9386 that divides 9386 without a remainder.
1,2,13,19,26,38,247,361,494,722,4693,9386
Greatest Common Factor
We found the factors 489,9386 . The biggest common factor number is the GCF number.
So the greatest common factor 489,9386 is 1.
Lets's calculate LCM of 35,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 7805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7805
Therefore, the GCF of Fractions 489/35,9386/223 is 1/7805
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 35,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,223) x common factors =1 x 1 = 1
LCM(35,223) = ( 35 × 223 ) / 1
LCM(35,223) = 7805 / 1
LCM(35,223) = 7805
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 489/35, 9386/223?
Answer: GCF of Numerators as per given numbers 489/35, 9386/223 is
GCF of Numerators i.e. for 489,9386 is 1
LCM of denominators i.e. for 35,223 is 7805.
Thus, GCF of Fractions is 1/7805.Finally, GCF of Fractions for 489/35, 9386/223 is 1/7805.