Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 74/11,165/38,345/983
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 74,165,345
Greatest Common Factor of Numerators i.e. GCF of 74,165,345 is 1 .
LCM of Denominators means LCM of 11,38,983 as per the given fractions.
LCM of 11,38,983 is 410894 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 74,165,345
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
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 74,165,345 . The biggest common factor number is the GCF number.
So the greatest common factor 74,165,345 is 1.
Lets's calculate LCM of 11,38,983
Given numbers has no common factors except 1. So, there LCM is their product i.e 410894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410894
Therefore, the GCF of Fractions 74/11,165/38,345/983 is 1/410894
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 11,38,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,38,983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,38,983) x common factors =1 x 1 = 1
LCM(11,38,983) = ( 11 × 38 × 983 ) / 1
LCM(11,38,983) = 410894 / 1
LCM(11,38,983) = 410894
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 74/11, 165/38, 345/983?
Answer: GCF of Numerators as per given numbers 74/11, 165/38, 345/983 is
GCF of Numerators i.e. for 74,165,345 is 1
LCM of denominators i.e. for 11,38,983 is 410894.
Thus, GCF of Fractions is 1/410894.Finally, GCF of Fractions for 74/11, 165/38, 345/983 is 1/410894.