Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 485/27,547/9008
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 485,547
Greatest Common Factor of Numerators i.e. GCF of 485,547 is 1 .
LCM of Denominators means LCM of 27,9008 as per the given fractions.
LCM of 27,9008 is 243216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 485,547
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Greatest Common Factor
We found the factors 485,547 . The biggest common factor number is the GCF number.
So the greatest common factor 485,547 is 1.
Lets's calculate LCM of 27,9008
Given numbers has no common factors except 1. So, there LCM is their product i.e 243216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/243216
Therefore, the GCF of Fractions 485/27,547/9008 is 1/243216
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 27,9008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,9008) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,9008) x common factors =1 x 1 = 1
LCM(27,9008) = ( 27 × 9008 ) / 1
LCM(27,9008) = 243216 / 1
LCM(27,9008) = 243216
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 485/27, 547/9008?
Answer: GCF of Numerators as per given numbers 485/27, 547/9008 is
GCF of Numerators i.e. for 485,547 is 1
LCM of denominators i.e. for 27,9008 is 243216.
Thus, GCF of Fractions is 1/243216.Finally, GCF of Fractions for 485/27, 547/9008 is 1/243216.