Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 345/940,646/111
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 345,646
Greatest Common Factor of Numerators i.e. GCF of 345,646 is 1 .
LCM of Denominators means LCM of 940,111 as per the given fractions.
LCM of 940,111 is 104340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 345,646
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 345,646 . The biggest common factor number is the GCF number.
So the greatest common factor 345,646 is 1.
Lets's calculate LCM of 940,111
Given numbers has no common factors except 1. So, there LCM is their product i.e 104340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104340
Therefore, the GCF of Fractions 345/940,646/111 is 1/104340
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 940,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(940,111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(940,111) x common factors =1 x 1 = 1
LCM(940,111) = ( 940 × 111 ) / 1
LCM(940,111) = 104340 / 1
LCM(940,111) = 104340
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 345/940, 646/111?
Answer: GCF of Numerators as per given numbers 345/940, 646/111 is
GCF of Numerators i.e. for 345,646 is 1
LCM of denominators i.e. for 940,111 is 104340.
Thus, GCF of Fractions is 1/104340.Finally, GCF of Fractions for 345/940, 646/111 is 1/104340.