Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1442/27,2727/518
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 1442,2727
Greatest Common Factor of Numerators i.e. GCF of 1442,2727 is 1 .
LCM of Denominators means LCM of 27,518 as per the given fractions.
LCM of 27,518 is 13986 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1442,2727
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1442
List of positive integer factors of 1442 that divides 1442 without a remainder.
1,2,7,14,103,206,721,1442
Factors of 2727
List of positive integer factors of 2727 that divides 2727 without a remainder.
1,3,9,27,101,303,909,2727
Greatest Common Factor
We found the factors 1442,2727 . The biggest common factor number is the GCF number.
So the greatest common factor 1442,2727 is 1.
Lets's calculate LCM of 27,518
Given numbers has no common factors except 1. So, there LCM is their product i.e 13986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13986
Therefore, the GCF of Fractions 1442/27,2727/518 is 1/13986
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 27,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,518) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,518) x common factors =1 x 1 = 1
LCM(27,518) = ( 27 × 518 ) / 1
LCM(27,518) = 13986 / 1
LCM(27,518) = 13986
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 1442/27, 2727/518?
Answer: GCF of Numerators as per given numbers 1442/27, 2727/518 is
GCF of Numerators i.e. for 1442,2727 is 1
LCM of denominators i.e. for 27,518 is 13986.
Thus, GCF of Fractions is 1/13986.Finally, GCF of Fractions for 1442/27, 2727/518 is 1/13986.