Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 194/62,526/99,161/487
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 194,526,161
Greatest Common Factor of Numerators i.e. GCF of 194,526,161 is 1 .
LCM of Denominators means LCM of 62,99,487 as per the given fractions.
LCM of 62,99,487 is 2989206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 194,526,161
∴ 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 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Greatest Common Factor
We found the factors 194,526,161 . The biggest common factor number is the GCF number.
So the greatest common factor 194,526,161 is 1.
Lets's calculate LCM of 62,99,487
Given numbers has no common factors except 1. So, there LCM is their product i.e 2989206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2989206
Therefore, the GCF of Fractions 194/62,526/99,161/487 is 1/2989206
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 62,99,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,99,487) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,99,487) x common factors =1 x 1 = 1
LCM(62,99,487) = ( 62 × 99 × 487 ) / 1
LCM(62,99,487) = 2989206 / 1
LCM(62,99,487) = 2989206
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 194/62, 526/99, 161/487?
Answer: GCF of Numerators as per given numbers 194/62, 526/99, 161/487 is
GCF of Numerators i.e. for 194,526,161 is 1
LCM of denominators i.e. for 62,99,487 is 2989206.
Thus, GCF of Fractions is 1/2989206.Finally, GCF of Fractions for 194/62, 526/99, 161/487 is 1/2989206.