Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/63,571/17,178/454
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 27,571,178
Greatest Common Factor of Numerators i.e. GCF of 27,571,178 is 1 .
LCM of Denominators means LCM of 63,17,454 as per the given fractions.
LCM of 63,17,454 is 486234 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,571,178
∴ 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 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Greatest Common Factor
We found the factors 27,571,178 . The biggest common factor number is the GCF number.
So the greatest common factor 27,571,178 is 1.
Lets's calculate LCM of 63,17,454
Given numbers has no common factors except 1. So, there LCM is their product i.e 486234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/486234
Therefore, the GCF of Fractions 27/63,571/17,178/454 is 1/486234
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 63,17,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,17,454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,17,454) x common factors =1 x 1 = 1
LCM(63,17,454) = ( 63 × 17 × 454 ) / 1
LCM(63,17,454) = 486234 / 1
LCM(63,17,454) = 486234
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 27/63, 571/17, 178/454?
Answer: GCF of Numerators as per given numbers 27/63, 571/17, 178/454 is
GCF of Numerators i.e. for 27,571,178 is 1
LCM of denominators i.e. for 63,17,454 is 486234.
Thus, GCF of Fractions is 1/486234.Finally, GCF of Fractions for 27/63, 571/17, 178/454 is 1/486234.