Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 215/25,969/56,482/490
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 215,969,482
Greatest Common Factor of Numerators i.e. GCF of 215,969,482 is 1 .
LCM of Denominators means LCM of 25,56,490 as per the given fractions.
LCM of 25,56,490 is 9800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 215,969,482
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 215
List of positive integer factors of 215 that divides 215 without a remainder.
1,5,43,215
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 215,969,482 . The biggest common factor number is the GCF number.
So the greatest common factor 215,969,482 is 1.
Lets's calculate LCM of 25,56,490
2 | 25, 56, 490 |
5 | 25, 28, 245 |
7 | 5, 28, 49 |
5, 4, 7 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 5 x 4 x 7 = 9800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9800
Therefore, the GCF of Fractions 215/25,969/56,482/490 is 1/9800
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 25,56,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,56,490) = 1
common factors(in case of two or more numbers have common factors) = 70
GCF(25,56,490) x common factors =1 x 70 = 70
LCM(25,56,490) = ( 25 × 56 × 490 ) / 70
LCM(25,56,490) = 686000 / 70
LCM(25,56,490) = 9800
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 215/25, 969/56, 482/490?
Answer: GCF of Numerators as per given numbers 215/25, 969/56, 482/490 is
GCF of Numerators i.e. for 215,969,482 is 1
LCM of denominators i.e. for 25,56,490 is 9800.
Thus, GCF of Fractions is 1/9800.Finally, GCF of Fractions for 215/25, 969/56, 482/490 is 1/9800.