Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5711/73,4836/618
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 5711,4836
Greatest Common Factor of Numerators i.e. GCF of 5711,4836 is 1 .
LCM of Denominators means LCM of 73,618 as per the given fractions.
LCM of 73,618 is 45114 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5711,4836
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5711
List of positive integer factors of 5711 that divides 5711 without a remainder.
1,5711
Factors of 4836
List of positive integer factors of 4836 that divides 4836 without a remainder.
1,2,3,4,6,12,13,26,31,39,52,62,78,93,124,156,186,372,403,806,1209,1612,2418,4836
Greatest Common Factor
We found the factors 5711,4836 . The biggest common factor number is the GCF number.
So the greatest common factor 5711,4836 is 1.
Lets's calculate LCM of 73,618
Given numbers has no common factors except 1. So, there LCM is their product i.e 45114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45114
Therefore, the GCF of Fractions 5711/73,4836/618 is 1/45114
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 73,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,618) x common factors =1 x 1 = 1
LCM(73,618) = ( 73 × 618 ) / 1
LCM(73,618) = 45114 / 1
LCM(73,618) = 45114
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 5711/73, 4836/618?
Answer: GCF of Numerators as per given numbers 5711/73, 4836/618 is
GCF of Numerators i.e. for 5711,4836 is 1
LCM of denominators i.e. for 73,618 is 45114.
Thus, GCF of Fractions is 1/45114.Finally, GCF of Fractions for 5711/73, 4836/618 is 1/45114.