Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 470/20,251/49,885/275
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 470,251,885
Greatest Common Factor of Numerators i.e. GCF of 470,251,885 is 1 .
LCM of Denominators means LCM of 20,49,275 as per the given fractions.
LCM of 20,49,275 is 53900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 470,251,885
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 470,251,885 . The biggest common factor number is the GCF number.
So the greatest common factor 470,251,885 is 1.
Lets's calculate LCM of 20,49,275
5 | 20, 49, 275 |
4, 49, 55 |
∴ So the LCM of the given numbers is 5 x 4 x 49 x 55 = 53900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53900
Therefore, the GCF of Fractions 470/20,251/49,885/275 is 1/53900
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 20,49,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,49,275) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(20,49,275) x common factors =1 x 5 = 5
LCM(20,49,275) = ( 20 × 49 × 275 ) / 5
LCM(20,49,275) = 269500 / 5
LCM(20,49,275) = 53900
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 470/20, 251/49, 885/275?
Answer: GCF of Numerators as per given numbers 470/20, 251/49, 885/275 is
GCF of Numerators i.e. for 470,251,885 is 1
LCM of denominators i.e. for 20,49,275 is 53900.
Thus, GCF of Fractions is 1/53900.Finally, GCF of Fractions for 470/20, 251/49, 885/275 is 1/53900.