Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 204/277,618/527
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 204,618
Greatest Common Factor of Numerators i.e. GCF of 204,618 is 6 .
LCM of Denominators means LCM of 277,527 as per the given fractions.
LCM of 277,527 is 145979 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 204,618
2 | 204, 618 |
3 | 102, 309 |
34, 103 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 204,618 . The biggest common factor number is the GCF number.
So the greatest common factor 204,618 is 6.
Lets's calculate LCM of 277,527
Given numbers has no common factors except 1. So, there LCM is their product i.e 145979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/145979
Therefore, the GCF of Fractions 204/277,618/527 is 6/145979
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 277,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,527) x common factors =1 x 1 = 1
LCM(277,527) = ( 277 × 527 ) / 1
LCM(277,527) = 145979 / 1
LCM(277,527) = 145979
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 204/277, 618/527?
Answer: GCF of Numerators as per given numbers 204/277, 618/527 is
GCF of Numerators i.e. for 204,618 is 6
LCM of denominators i.e. for 277,527 is 145979.
Thus, GCF of Fractions is 6/145979.Finally, GCF of Fractions for 204/277, 618/527 is 6/145979.