Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 251/13,654/49,230/19
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 251,654,230
Greatest Common Factor of Numerators i.e. GCF of 251,654,230 is 1 .
LCM of Denominators means LCM of 13,49,19 as per the given fractions.
LCM of 13,49,19 is 12103 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 251,654,230
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Factors of 230
List of positive integer factors of 230 that divides 230 without a remainder.
1,2,5,10,23,46,115,230
Greatest Common Factor
We found the factors 251,654,230 . The biggest common factor number is the GCF number.
So the greatest common factor 251,654,230 is 1.
Lets's calculate LCM of 13,49,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 12103
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12103
Therefore, the GCF of Fractions 251/13,654/49,230/19 is 1/12103
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 13,49,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,49,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,49,19) x common factors =1 x 1 = 1
LCM(13,49,19) = ( 13 × 49 × 19 ) / 1
LCM(13,49,19) = 12103 / 1
LCM(13,49,19) = 12103
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 251/13, 654/49, 230/19?
Answer: GCF of Numerators as per given numbers 251/13, 654/49, 230/19 is
GCF of Numerators i.e. for 251,654,230 is 1
LCM of denominators i.e. for 13,49,19 is 12103.
Thus, GCF of Fractions is 1/12103.Finally, GCF of Fractions for 251/13, 654/49, 230/19 is 1/12103.