Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/62,227/81,654/89
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 6,227,654
Greatest Common Factor of Numerators i.e. GCF of 6,227,654 is 1 .
LCM of Denominators means LCM of 62,81,89 as per the given fractions.
LCM of 62,81,89 is 446958 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,227,654
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors 6,227,654 . The biggest common factor number is the GCF number.
So the greatest common factor 6,227,654 is 1.
Lets's calculate LCM of 62,81,89
Given numbers has no common factors except 1. So, there LCM is their product i.e 446958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/446958
Therefore, the GCF of Fractions 6/62,227/81,654/89 is 1/446958
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 62,81,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,81,89) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,81,89) x common factors =1 x 1 = 1
LCM(62,81,89) = ( 62 × 81 × 89 ) / 1
LCM(62,81,89) = 446958 / 1
LCM(62,81,89) = 446958
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 6/62, 227/81, 654/89?
Answer: GCF of Numerators as per given numbers 6/62, 227/81, 654/89 is
GCF of Numerators i.e. for 6,227,654 is 1
LCM of denominators i.e. for 62,81,89 is 446958.
Thus, GCF of Fractions is 1/446958.Finally, GCF of Fractions for 6/62, 227/81, 654/89 is 1/446958.