Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2599/665,3447/2976
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 2599,3447
Greatest Common Factor of Numerators i.e. GCF of 2599,3447 is 1 .
LCM of Denominators means LCM of 665,2976 as per the given fractions.
LCM of 665,2976 is 1979040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2599,3447
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2599
List of positive integer factors of 2599 that divides 2599 without a remainder.
1,23,113,2599
Factors of 3447
List of positive integer factors of 3447 that divides 3447 without a remainder.
1,3,9,383,1149,3447
Greatest Common Factor
We found the factors 2599,3447 . The biggest common factor number is the GCF number.
So the greatest common factor 2599,3447 is 1.
Lets's calculate LCM of 665,2976
Given numbers has no common factors except 1. So, there LCM is their product i.e 1979040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1979040
Therefore, the GCF of Fractions 2599/665,3447/2976 is 1/1979040
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 665,2976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,2976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(665,2976) x common factors =1 x 1 = 1
LCM(665,2976) = ( 665 × 2976 ) / 1
LCM(665,2976) = 1979040 / 1
LCM(665,2976) = 1979040
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 2599/665, 3447/2976?
Answer: GCF of Numerators as per given numbers 2599/665, 3447/2976 is
GCF of Numerators i.e. for 2599,3447 is 1
LCM of denominators i.e. for 665,2976 is 1979040.
Thus, GCF of Fractions is 1/1979040.Finally, GCF of Fractions for 2599/665, 3447/2976 is 1/1979040.