Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 45/35,241/73,345/437
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 45,241,345
Greatest Common Factor of Numerators i.e. GCF of 45,241,345 is 1 .
LCM of Denominators means LCM of 35,73,437 as per the given fractions.
LCM of 35,73,437 is 1116535 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 45,241,345
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Greatest Common Factor
We found the factors 45,241,345 . The biggest common factor number is the GCF number.
So the greatest common factor 45,241,345 is 1.
Lets's calculate LCM of 35,73,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 1116535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1116535
Therefore, the GCF of Fractions 45/35,241/73,345/437 is 1/1116535
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 35,73,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,73,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,73,437) x common factors =1 x 1 = 1
LCM(35,73,437) = ( 35 × 73 × 437 ) / 1
LCM(35,73,437) = 1116535 / 1
LCM(35,73,437) = 1116535
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 45/35, 241/73, 345/437?
Answer: GCF of Numerators as per given numbers 45/35, 241/73, 345/437 is
GCF of Numerators i.e. for 45,241,345 is 1
LCM of denominators i.e. for 35,73,437 is 1116535.
Thus, GCF of Fractions is 1/1116535.Finally, GCF of Fractions for 45/35, 241/73, 345/437 is 1/1116535.