Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 473/205,8503/662
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 473,8503
Greatest Common Factor of Numerators i.e. GCF of 473,8503 is 11 .
LCM of Denominators means LCM of 205,662 as per the given fractions.
LCM of 205,662 is 135710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 473,8503
11 | 473, 8503 |
43, 773 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 8503
List of positive integer factors of 8503 that divides 8503 without a remainder.
1,11,773,8503
Greatest Common Factor
We found the factors 473,8503 . The biggest common factor number is the GCF number.
So the greatest common factor 473,8503 is 11.
Lets's calculate LCM of 205,662
Given numbers has no common factors except 1. So, there LCM is their product i.e 135710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/135710
Therefore, the GCF of Fractions 473/205,8503/662 is 11/135710
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 205,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,662) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,662) x common factors =1 x 1 = 1
LCM(205,662) = ( 205 × 662 ) / 1
LCM(205,662) = 135710 / 1
LCM(205,662) = 135710
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 473/205, 8503/662?
Answer: GCF of Numerators as per given numbers 473/205, 8503/662 is
GCF of Numerators i.e. for 473,8503 is 11
LCM of denominators i.e. for 205,662 is 135710.
Thus, GCF of Fractions is 11/135710.Finally, GCF of Fractions for 473/205, 8503/662 is 11/135710.