Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 485/605,4490/5367
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 485,4490
Greatest Common Factor of Numerators i.e. GCF of 485,4490 is 5 .
LCM of Denominators means LCM of 605,5367 as per the given fractions.
LCM of 605,5367 is 3247035 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 485,4490
5 | 485, 4490 |
97, 898 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1,5,97,485
Factors of 4490
List of positive integer factors of 4490 that divides 4490 without a remainder.
1,2,5,10,449,898,2245,4490
Greatest Common Factor
We found the factors 485,4490 . The biggest common factor number is the GCF number.
So the greatest common factor 485,4490 is 5.
Lets's calculate LCM of 605,5367
Given numbers has no common factors except 1. So, there LCM is their product i.e 3247035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3247035
Therefore, the GCF of Fractions 485/605,4490/5367 is 5/3247035
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 605,5367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,5367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,5367) x common factors =1 x 1 = 1
LCM(605,5367) = ( 605 × 5367 ) / 1
LCM(605,5367) = 3247035 / 1
LCM(605,5367) = 3247035
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 485/605, 4490/5367?
Answer: GCF of Numerators as per given numbers 485/605, 4490/5367 is
GCF of Numerators i.e. for 485,4490 is 5
LCM of denominators i.e. for 605,5367 is 3247035.
Thus, GCF of Fractions is 5/3247035.Finally, GCF of Fractions for 485/605, 4490/5367 is 5/3247035.