Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/38,997/4491
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 807,997
Greatest Common Factor of Numerators i.e. GCF of 807,997 is 1 .
LCM of Denominators means LCM of 38,4491 as per the given fractions.
LCM of 38,4491 is 170658 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 807,997
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Greatest Common Factor
We found the factors 807,997 . The biggest common factor number is the GCF number.
So the greatest common factor 807,997 is 1.
Lets's calculate LCM of 38,4491
Given numbers has no common factors except 1. So, there LCM is their product i.e 170658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170658
Therefore, the GCF of Fractions 807/38,997/4491 is 1/170658
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 38,4491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,4491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,4491) x common factors =1 x 1 = 1
LCM(38,4491) = ( 38 × 4491 ) / 1
LCM(38,4491) = 170658 / 1
LCM(38,4491) = 170658
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 807/38, 997/4491?
Answer: GCF of Numerators as per given numbers 807/38, 997/4491 is
GCF of Numerators i.e. for 807,997 is 1
LCM of denominators i.e. for 38,4491 is 170658.
Thus, GCF of Fractions is 1/170658.Finally, GCF of Fractions for 807/38, 997/4491 is 1/170658.