Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4733/489,1110/3020
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 4733,1110
Greatest Common Factor of Numerators i.e. GCF of 4733,1110 is 1 .
LCM of Denominators means LCM of 489,3020 as per the given fractions.
LCM of 489,3020 is 1476780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4733,1110
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4733
List of positive integer factors of 4733 that divides 4733 without a remainder.
1,4733
Factors of 1110
List of positive integer factors of 1110 that divides 1110 without a remainder.
1,2,3,5,6,10,15,30,37,74,111,185,222,370,555,1110
Greatest Common Factor
We found the factors 4733,1110 . The biggest common factor number is the GCF number.
So the greatest common factor 4733,1110 is 1.
Lets's calculate LCM of 489,3020
Given numbers has no common factors except 1. So, there LCM is their product i.e 1476780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1476780
Therefore, the GCF of Fractions 4733/489,1110/3020 is 1/1476780
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 489,3020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,3020) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,3020) x common factors =1 x 1 = 1
LCM(489,3020) = ( 489 × 3020 ) / 1
LCM(489,3020) = 1476780 / 1
LCM(489,3020) = 1476780
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 4733/489, 1110/3020?
Answer: GCF of Numerators as per given numbers 4733/489, 1110/3020 is
GCF of Numerators i.e. for 4733,1110 is 1
LCM of denominators i.e. for 489,3020 is 1476780.
Thus, GCF of Fractions is 1/1476780.Finally, GCF of Fractions for 4733/489, 1110/3020 is 1/1476780.