Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6040/765,2729/1223
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 6040,2729
Greatest Common Factor of Numerators i.e. GCF of 6040,2729 is 1 .
LCM of Denominators means LCM of 765,1223 as per the given fractions.
LCM of 765,1223 is 935595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6040,2729
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6040
List of positive integer factors of 6040 that divides 6040 without a remainder.
1,2,4,5,8,10,20,40,151,302,604,755,1208,1510,3020,6040
Factors of 2729
List of positive integer factors of 2729 that divides 2729 without a remainder.
1,2729
Greatest Common Factor
We found the factors 6040,2729 . The biggest common factor number is the GCF number.
So the greatest common factor 6040,2729 is 1.
Lets's calculate LCM of 765,1223
Given numbers has no common factors except 1. So, there LCM is their product i.e 935595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/935595
Therefore, the GCF of Fractions 6040/765,2729/1223 is 1/935595
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 765,1223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,1223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(765,1223) x common factors =1 x 1 = 1
LCM(765,1223) = ( 765 × 1223 ) / 1
LCM(765,1223) = 935595 / 1
LCM(765,1223) = 935595
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 6040/765, 2729/1223?
Answer: GCF of Numerators as per given numbers 6040/765, 2729/1223 is
GCF of Numerators i.e. for 6040,2729 is 1
LCM of denominators i.e. for 765,1223 is 935595.
Thus, GCF of Fractions is 1/935595.Finally, GCF of Fractions for 6040/765, 2729/1223 is 1/935595.