Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8469/60,8270/451
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 8469,8270
Greatest Common Factor of Numerators i.e. GCF of 8469,8270 is 1 .
LCM of Denominators means LCM of 60,451 as per the given fractions.
LCM of 60,451 is 27060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8469,8270
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8469
List of positive integer factors of 8469 that divides 8469 without a remainder.
1,3,9,941,2823,8469
Factors of 8270
List of positive integer factors of 8270 that divides 8270 without a remainder.
1,2,5,10,827,1654,4135,8270
Greatest Common Factor
We found the factors 8469,8270 . The biggest common factor number is the GCF number.
So the greatest common factor 8469,8270 is 1.
Lets's calculate LCM of 60,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 27060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27060
Therefore, the GCF of Fractions 8469/60,8270/451 is 1/27060
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 60,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,451) x common factors =1 x 1 = 1
LCM(60,451) = ( 60 × 451 ) / 1
LCM(60,451) = 27060 / 1
LCM(60,451) = 27060
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 8469/60, 8270/451?
Answer: GCF of Numerators as per given numbers 8469/60, 8270/451 is
GCF of Numerators i.e. for 8469,8270 is 1
LCM of denominators i.e. for 60,451 is 27060.
Thus, GCF of Fractions is 1/27060.Finally, GCF of Fractions for 8469/60, 8270/451 is 1/27060.