Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 66/27,20/97,271/461
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 66,20,271
Greatest Common Factor of Numerators i.e. GCF of 66,20,271 is 1 .
LCM of Denominators means LCM of 27,97,461 as per the given fractions.
LCM of 27,97,461 is 1207359 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 66,20,271
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 271
List of positive integer factors of 271 that divides 271 without a remainder.
1,271
Greatest Common Factor
We found the factors 66,20,271 . The biggest common factor number is the GCF number.
So the greatest common factor 66,20,271 is 1.
Lets's calculate LCM of 27,97,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 1207359
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1207359
Therefore, the GCF of Fractions 66/27,20/97,271/461 is 1/1207359
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 27,97,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,97,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,97,461) x common factors =1 x 1 = 1
LCM(27,97,461) = ( 27 × 97 × 461 ) / 1
LCM(27,97,461) = 1207359 / 1
LCM(27,97,461) = 1207359
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 66/27, 20/97, 271/461?
Answer: GCF of Numerators as per given numbers 66/27, 20/97, 271/461 is
GCF of Numerators i.e. for 66,20,271 is 1
LCM of denominators i.e. for 27,97,461 is 1207359.
Thus, GCF of Fractions is 1/1207359.Finally, GCF of Fractions for 66/27, 20/97, 271/461 is 1/1207359.