Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/14,38/80,54/327,465/178
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 4,38,54,465
Greatest Common Factor of Numerators i.e. GCF of 4,38,54,465 is 1 .
LCM of Denominators means LCM of 14,80,327,178 as per the given fractions.
LCM of 14,80,327,178 is 16297680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,38,54,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 4,38,54,465 . The biggest common factor number is the GCF number.
So the greatest common factor 4,38,54,465 is 1.
Lets's calculate LCM of 14,80,327,178
2 | 14, 80, 327, 178 |
7, 40, 327, 89 |
∴ So the LCM of the given numbers is 2 x 7 x 40 x 327 x 89 = 16297680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16297680
Therefore, the GCF of Fractions 4/14,38/80,54/327,465/178 is 1/16297680
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 14,80,327,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,80,327,178) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(14,80,327,178) x common factors =1 x 4 = 4
LCM(14,80,327,178) = ( 14 × 80 × 327 × 178 ) / 4
LCM(14,80,327,178) = 65190720 / 4
LCM(14,80,327,178) = 16297680
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 4/14, 38/80, 54/327, 465/178?
Answer: GCF of Numerators as per given numbers 4/14, 38/80, 54/327, 465/178 is
GCF of Numerators i.e. for 4,38,54,465 is 1
LCM of denominators i.e. for 14,80,327,178 is 16297680.
Thus, GCF of Fractions is 1/16297680.Finally, GCF of Fractions for 4/14, 38/80, 54/327, 465/178 is 1/16297680.