Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6194/245,6359/5454
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 6194,6359
Greatest Common Factor of Numerators i.e. GCF of 6194,6359 is 1 .
LCM of Denominators means LCM of 245,5454 as per the given fractions.
LCM of 245,5454 is 1336230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6194,6359
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6194
List of positive integer factors of 6194 that divides 6194 without a remainder.
1,2,19,38,163,326,3097,6194
Factors of 6359
List of positive integer factors of 6359 that divides 6359 without a remainder.
1,6359
Greatest Common Factor
We found the factors 6194,6359 . The biggest common factor number is the GCF number.
So the greatest common factor 6194,6359 is 1.
Lets's calculate LCM of 245,5454
Given numbers has no common factors except 1. So, there LCM is their product i.e 1336230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1336230
Therefore, the GCF of Fractions 6194/245,6359/5454 is 1/1336230
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 245,5454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,5454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,5454) x common factors =1 x 1 = 1
LCM(245,5454) = ( 245 × 5454 ) / 1
LCM(245,5454) = 1336230 / 1
LCM(245,5454) = 1336230
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 6194/245, 6359/5454?
Answer: GCF of Numerators as per given numbers 6194/245, 6359/5454 is
GCF of Numerators i.e. for 6194,6359 is 1
LCM of denominators i.e. for 245,5454 is 1336230.
Thus, GCF of Fractions is 1/1336230.Finally, GCF of Fractions for 6194/245, 6359/5454 is 1/1336230.