Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2740/680,3739/223
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 2740,3739
Greatest Common Factor of Numerators i.e. GCF of 2740,3739 is 1 .
LCM of Denominators means LCM of 680,223 as per the given fractions.
LCM of 680,223 is 151640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2740,3739
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2740
List of positive integer factors of 2740 that divides 2740 without a remainder.
1,2,4,5,10,20,137,274,548,685,1370,2740
Factors of 3739
List of positive integer factors of 3739 that divides 3739 without a remainder.
1,3739
Greatest Common Factor
We found the factors 2740,3739 . The biggest common factor number is the GCF number.
So the greatest common factor 2740,3739 is 1.
Lets's calculate LCM of 680,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 151640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151640
Therefore, the GCF of Fractions 2740/680,3739/223 is 1/151640
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 680,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(680,223) x common factors =1 x 1 = 1
LCM(680,223) = ( 680 × 223 ) / 1
LCM(680,223) = 151640 / 1
LCM(680,223) = 151640
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 2740/680, 3739/223?
Answer: GCF of Numerators as per given numbers 2740/680, 3739/223 is
GCF of Numerators i.e. for 2740,3739 is 1
LCM of denominators i.e. for 680,223 is 151640.
Thus, GCF of Fractions is 1/151640.Finally, GCF of Fractions for 2740/680, 3739/223 is 1/151640.