Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 950/743,209/734
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 950,209
Greatest Common Factor of Numerators i.e. GCF of 950,209 is 19 .
LCM of Denominators means LCM of 743,734 as per the given fractions.
LCM of 743,734 is 545362 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 950,209
19 | 950, 209 |
50, 11 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors 950,209 . The biggest common factor number is the GCF number.
So the greatest common factor 950,209 is 19.
Lets's calculate LCM of 743,734
Given numbers has no common factors except 1. So, there LCM is their product i.e 545362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/545362
Therefore, the GCF of Fractions 950/743,209/734 is 19/545362
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 743,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,734) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,734) x common factors =1 x 1 = 1
LCM(743,734) = ( 743 × 734 ) / 1
LCM(743,734) = 545362 / 1
LCM(743,734) = 545362
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 950/743, 209/734?
Answer: GCF of Numerators as per given numbers 950/743, 209/734 is
GCF of Numerators i.e. for 950,209 is 19
LCM of denominators i.e. for 743,734 is 545362.
Thus, GCF of Fractions is 19/545362.Finally, GCF of Fractions for 950/743, 209/734 is 19/545362.