Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8451/50,5995/240
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 8451,5995
Greatest Common Factor of Numerators i.e. GCF of 8451,5995 is 1 .
LCM of Denominators means LCM of 50,240 as per the given fractions.
LCM of 50,240 is 1200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8451,5995
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8451
List of positive integer factors of 8451 that divides 8451 without a remainder.
1,3,9,27,313,939,2817,8451
Factors of 5995
List of positive integer factors of 5995 that divides 5995 without a remainder.
1,5,11,55,109,545,1199,5995
Greatest Common Factor
We found the factors 8451,5995 . The biggest common factor number is the GCF number.
So the greatest common factor 8451,5995 is 1.
Lets's calculate LCM of 50,240
2 | 50, 240 |
5 | 25, 120 |
5, 24 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 24 = 1200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1200
Therefore, the GCF of Fractions 8451/50,5995/240 is 1/1200
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 50,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,240) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(50,240) x common factors =10 x 1 = 10
LCM(50,240) = ( 50 × 240 ) / 10
LCM(50,240) = 12000 / 10
LCM(50,240) = 1200
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 8451/50, 5995/240?
Answer: GCF of Numerators as per given numbers 8451/50, 5995/240 is
GCF of Numerators i.e. for 8451,5995 is 1
LCM of denominators i.e. for 50,240 is 1200.
Thus, GCF of Fractions is 1/1200.Finally, GCF of Fractions for 8451/50, 5995/240 is 1/1200.