Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8471/20,8925/272
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 8471,8925
Greatest Common Factor of Numerators i.e. GCF of 8471,8925 is 1 .
LCM of Denominators means LCM of 20,272 as per the given fractions.
LCM of 20,272 is 1360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8471,8925
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8471
List of positive integer factors of 8471 that divides 8471 without a remainder.
1,43,197,8471
Factors of 8925
List of positive integer factors of 8925 that divides 8925 without a remainder.
1,3,5,7,15,17,21,25,35,51,75,85,105,119,175,255,357,425,525,595,1275,1785,2975,8925
Greatest Common Factor
We found the factors 8471,8925 . The biggest common factor number is the GCF number.
So the greatest common factor 8471,8925 is 1.
Lets's calculate LCM of 20,272
2 | 20, 272 |
2 | 10, 136 |
5, 68 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 68 = 1360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1360
Therefore, the GCF of Fractions 8471/20,8925/272 is 1/1360
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 20,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,272) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(20,272) x common factors =4 x 1 = 4
LCM(20,272) = ( 20 × 272 ) / 4
LCM(20,272) = 5440 / 4
LCM(20,272) = 1360
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 8471/20, 8925/272?
Answer: GCF of Numerators as per given numbers 8471/20, 8925/272 is
GCF of Numerators i.e. for 8471,8925 is 1
LCM of denominators i.e. for 20,272 is 1360.
Thus, GCF of Fractions is 1/1360.Finally, GCF of Fractions for 8471/20, 8925/272 is 1/1360.