Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2731/684,3759/7219
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 2731,3759
Greatest Common Factor of Numerators i.e. GCF of 2731,3759 is 1 .
LCM of Denominators means LCM of 684,7219 as per the given fractions.
LCM of 684,7219 is 4937796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2731,3759
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2731
List of positive integer factors of 2731 that divides 2731 without a remainder.
1,2731
Factors of 3759
List of positive integer factors of 3759 that divides 3759 without a remainder.
1,3,7,21,179,537,1253,3759
Greatest Common Factor
We found the factors 2731,3759 . The biggest common factor number is the GCF number.
So the greatest common factor 2731,3759 is 1.
Lets's calculate LCM of 684,7219
Given numbers has no common factors except 1. So, there LCM is their product i.e 4937796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4937796
Therefore, the GCF of Fractions 2731/684,3759/7219 is 1/4937796
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 684,7219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,7219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,7219) x common factors =1 x 1 = 1
LCM(684,7219) = ( 684 × 7219 ) / 1
LCM(684,7219) = 4937796 / 1
LCM(684,7219) = 4937796
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 2731/684, 3759/7219?
Answer: GCF of Numerators as per given numbers 2731/684, 3759/7219 is
GCF of Numerators i.e. for 2731,3759 is 1
LCM of denominators i.e. for 684,7219 is 4937796.
Thus, GCF of Fractions is 1/4937796.Finally, GCF of Fractions for 2731/684, 3759/7219 is 1/4937796.