Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/795,76/521,618/951
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 27,76,618
Greatest Common Factor of Numerators i.e. GCF of 27,76,618 is 1 .
LCM of Denominators means LCM of 795,521,951 as per the given fractions.
LCM of 795,521,951 is 131299815 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,76,618
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
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 27,76,618 . The biggest common factor number is the GCF number.
So the greatest common factor 27,76,618 is 1.
Lets's calculate LCM of 795,521,951
3 | 795, 521, 951 |
265, 521, 317 |
∴ So the LCM of the given numbers is 3 x 265 x 521 x 317 = 131299815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131299815
Therefore, the GCF of Fractions 27/795,76/521,618/951 is 1/131299815
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 795,521,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,521,951) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(795,521,951) x common factors =1 x 3 = 3
LCM(795,521,951) = ( 795 × 521 × 951 ) / 3
LCM(795,521,951) = 393899445 / 3
LCM(795,521,951) = 131299815
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 27/795, 76/521, 618/951?
Answer: GCF of Numerators as per given numbers 27/795, 76/521, 618/951 is
GCF of Numerators i.e. for 27,76,618 is 1
LCM of denominators i.e. for 795,521,951 is 131299815.
Thus, GCF of Fractions is 1/131299815.Finally, GCF of Fractions for 27/795, 76/521, 618/951 is 1/131299815.