Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 194/733,269/246
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 194,269
Greatest Common Factor of Numerators i.e. GCF of 194,269 is 1 .
LCM of Denominators means LCM of 733,246 as per the given fractions.
LCM of 733,246 is 180318 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 194,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Greatest Common Factor
We found the factors 194,269 . The biggest common factor number is the GCF number.
So the greatest common factor 194,269 is 1.
Lets's calculate LCM of 733,246
Given numbers has no common factors except 1. So, there LCM is their product i.e 180318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180318
Therefore, the GCF of Fractions 194/733,269/246 is 1/180318
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 733,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,246) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,246) x common factors =1 x 1 = 1
LCM(733,246) = ( 733 × 246 ) / 1
LCM(733,246) = 180318 / 1
LCM(733,246) = 180318
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 194/733, 269/246?
Answer: GCF of Numerators as per given numbers 194/733, 269/246 is
GCF of Numerators i.e. for 194,269 is 1
LCM of denominators i.e. for 733,246 is 180318.
Thus, GCF of Fractions is 1/180318.Finally, GCF of Fractions for 194/733, 269/246 is 1/180318.