Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 407/11,4687/797
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 407,4687
Greatest Common Factor of Numerators i.e. GCF of 407,4687 is 1 .
LCM of Denominators means LCM of 11,797 as per the given fractions.
LCM of 11,797 is 8767 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 407,4687
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Factors of 4687
List of positive integer factors of 4687 that divides 4687 without a remainder.
1,43,109,4687
Greatest Common Factor
We found the factors 407,4687 . The biggest common factor number is the GCF number.
So the greatest common factor 407,4687 is 1.
Lets's calculate LCM of 11,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 8767
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8767
Therefore, the GCF of Fractions 407/11,4687/797 is 1/8767
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 11,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,797) x common factors =1 x 1 = 1
LCM(11,797) = ( 11 × 797 ) / 1
LCM(11,797) = 8767 / 1
LCM(11,797) = 8767
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 407/11, 4687/797?
Answer: GCF of Numerators as per given numbers 407/11, 4687/797 is
GCF of Numerators i.e. for 407,4687 is 1
LCM of denominators i.e. for 11,797 is 8767.
Thus, GCF of Fractions is 1/8767.Finally, GCF of Fractions for 407/11, 4687/797 is 1/8767.