Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5741/150,4410/8496
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 5741,4410
Greatest Common Factor of Numerators i.e. GCF of 5741,4410 is 1 .
LCM of Denominators means LCM of 150,8496 as per the given fractions.
LCM of 150,8496 is 212400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5741,4410
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5741
List of positive integer factors of 5741 that divides 5741 without a remainder.
1,5741
Factors of 4410
List of positive integer factors of 4410 that divides 4410 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,49,63,70,90,98,105,126,147,210,245,294,315,441,490,630,735,882,1470,2205,4410
Greatest Common Factor
We found the factors 5741,4410 . The biggest common factor number is the GCF number.
So the greatest common factor 5741,4410 is 1.
Lets's calculate LCM of 150,8496
2 | 150, 8496 |
3 | 75, 4248 |
25, 1416 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 1416 = 212400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/212400
Therefore, the GCF of Fractions 5741/150,4410/8496 is 1/212400
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 150,8496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,8496) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(150,8496) x common factors =6 x 1 = 6
LCM(150,8496) = ( 150 × 8496 ) / 6
LCM(150,8496) = 1274400 / 6
LCM(150,8496) = 212400
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 5741/150, 4410/8496?
Answer: GCF of Numerators as per given numbers 5741/150, 4410/8496 is
GCF of Numerators i.e. for 5741,4410 is 1
LCM of denominators i.e. for 150,8496 is 212400.
Thus, GCF of Fractions is 1/212400.Finally, GCF of Fractions for 5741/150, 4410/8496 is 1/212400.