Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7407/261,4219/3031
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 7407,4219
Greatest Common Factor of Numerators i.e. GCF of 7407,4219 is 1 .
LCM of Denominators means LCM of 261,3031 as per the given fractions.
LCM of 261,3031 is 791091 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7407,4219
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7407
List of positive integer factors of 7407 that divides 7407 without a remainder.
1,3,9,823,2469,7407
Factors of 4219
List of positive integer factors of 4219 that divides 4219 without a remainder.
1,4219
Greatest Common Factor
We found the factors 7407,4219 . The biggest common factor number is the GCF number.
So the greatest common factor 7407,4219 is 1.
Lets's calculate LCM of 261,3031
Given numbers has no common factors except 1. So, there LCM is their product i.e 791091
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/791091
Therefore, the GCF of Fractions 7407/261,4219/3031 is 1/791091
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 261,3031 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,3031) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,3031) x common factors =1 x 1 = 1
LCM(261,3031) = ( 261 × 3031 ) / 1
LCM(261,3031) = 791091 / 1
LCM(261,3031) = 791091
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 7407/261, 4219/3031?
Answer: GCF of Numerators as per given numbers 7407/261, 4219/3031 is
GCF of Numerators i.e. for 7407,4219 is 1
LCM of denominators i.e. for 261,3031 is 791091.
Thus, GCF of Fractions is 1/791091.Finally, GCF of Fractions for 7407/261, 4219/3031 is 1/791091.