Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6491/35,1799/553
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 6491,1799
Greatest Common Factor of Numerators i.e. GCF of 6491,1799 is 1 .
LCM of Denominators means LCM of 35,553 as per the given fractions.
LCM of 35,553 is 2765 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6491,1799
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6491
List of positive integer factors of 6491 that divides 6491 without a remainder.
1,6491
Factors of 1799
List of positive integer factors of 1799 that divides 1799 without a remainder.
1,7,257,1799
Greatest Common Factor
We found the factors 6491,1799 . The biggest common factor number is the GCF number.
So the greatest common factor 6491,1799 is 1.
Lets's calculate LCM of 35,553
7 | 35, 553 |
5, 79 |
∴ So the LCM of the given numbers is 7 x 5 x 79 = 2765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2765
Therefore, the GCF of Fractions 6491/35,1799/553 is 1/2765
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 35,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,553) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(35,553) x common factors =7 x 1 = 7
LCM(35,553) = ( 35 × 553 ) / 7
LCM(35,553) = 19355 / 7
LCM(35,553) = 2765
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 6491/35, 1799/553?
Answer: GCF of Numerators as per given numbers 6491/35, 1799/553 is
GCF of Numerators i.e. for 6491,1799 is 1
LCM of denominators i.e. for 35,553 is 2765.
Thus, GCF of Fractions is 1/2765.Finally, GCF of Fractions for 6491/35, 1799/553 is 1/2765.