Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 460/55,206/9796
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 460,206
Greatest Common Factor of Numerators i.e. GCF of 460,206 is 2 .
LCM of Denominators means LCM of 55,9796 as per the given fractions.
LCM of 55,9796 is 538780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 460,206
2 | 460, 206 |
230, 103 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Factors of 206
List of positive integer factors of 206 that divides 206 without a remainder.
1,2,103,206
Greatest Common Factor
We found the factors 460,206 . The biggest common factor number is the GCF number.
So the greatest common factor 460,206 is 2.
Lets's calculate LCM of 55,9796
Given numbers has no common factors except 1. So, there LCM is their product i.e 538780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/538780
Therefore, the GCF of Fractions 460/55,206/9796 is 2/538780
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 55,9796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,9796) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,9796) x common factors =1 x 1 = 1
LCM(55,9796) = ( 55 × 9796 ) / 1
LCM(55,9796) = 538780 / 1
LCM(55,9796) = 538780
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 460/55, 206/9796?
Answer: GCF of Numerators as per given numbers 460/55, 206/9796 is
GCF of Numerators i.e. for 460,206 is 2
LCM of denominators i.e. for 55,9796 is 538780.
Thus, GCF of Fractions is 2/538780.Finally, GCF of Fractions for 460/55, 206/9796 is 2/538780.