Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 919/723,1754/6837
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 919,1754
Greatest Common Factor of Numerators i.e. GCF of 919,1754 is 1 .
LCM of Denominators means LCM of 723,6837 as per the given fractions.
LCM of 723,6837 is 1647717 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 919,1754
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 919
List of positive integer factors of 919 that divides 919 without a remainder.
1,919
Factors of 1754
List of positive integer factors of 1754 that divides 1754 without a remainder.
1,2,877,1754
Greatest Common Factor
We found the factors 919,1754 . The biggest common factor number is the GCF number.
So the greatest common factor 919,1754 is 1.
Lets's calculate LCM of 723,6837
3 | 723, 6837 |
241, 2279 |
∴ So the LCM of the given numbers is 3 x 241 x 2279 = 1647717
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1647717
Therefore, the GCF of Fractions 919/723,1754/6837 is 1/1647717
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 723,6837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,6837) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(723,6837) x common factors =3 x 1 = 3
LCM(723,6837) = ( 723 × 6837 ) / 3
LCM(723,6837) = 4943151 / 3
LCM(723,6837) = 1647717
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 919/723, 1754/6837?
Answer: GCF of Numerators as per given numbers 919/723, 1754/6837 is
GCF of Numerators i.e. for 919,1754 is 1
LCM of denominators i.e. for 723,6837 is 1647717.
Thus, GCF of Fractions is 1/1647717.Finally, GCF of Fractions for 919/723, 1754/6837 is 1/1647717.