Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 716/950,2373/838
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 716,2373
Greatest Common Factor of Numerators i.e. GCF of 716,2373 is 1 .
LCM of Denominators means LCM of 950,838 as per the given fractions.
LCM of 950,838 is 398050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 716,2373
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Factors of 2373
List of positive integer factors of 2373 that divides 2373 without a remainder.
1,3,7,21,113,339,791,2373
Greatest Common Factor
We found the factors 716,2373 . The biggest common factor number is the GCF number.
So the greatest common factor 716,2373 is 1.
Lets's calculate LCM of 950,838
2 | 950, 838 |
475, 419 |
∴ So the LCM of the given numbers is 2 x 475 x 419 = 398050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/398050
Therefore, the GCF of Fractions 716/950,2373/838 is 1/398050
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 950,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,838) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(950,838) x common factors =2 x 1 = 2
LCM(950,838) = ( 950 × 838 ) / 2
LCM(950,838) = 796100 / 2
LCM(950,838) = 398050
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 716/950, 2373/838?
Answer: GCF of Numerators as per given numbers 716/950, 2373/838 is
GCF of Numerators i.e. for 716,2373 is 1
LCM of denominators i.e. for 950,838 is 398050.
Thus, GCF of Fractions is 1/398050.Finally, GCF of Fractions for 716/950, 2373/838 is 1/398050.