Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 471/51,944/96,814/143
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 471,944,814
Greatest Common Factor of Numerators i.e. GCF of 471,944,814 is 1 .
LCM of Denominators means LCM of 51,96,143 as per the given fractions.
LCM of 51,96,143 is 233376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 471,944,814
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 471
List of positive integer factors of 471 that divides 471 without a remainder.
1,3,157,471
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 814
List of positive integer factors of 814 that divides 814 without a remainder.
1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 471,944,814 . The biggest common factor number is the GCF number.
So the greatest common factor 471,944,814 is 1.
Lets's calculate LCM of 51,96,143
3 | 51, 96, 143 |
17, 32, 143 |
∴ So the LCM of the given numbers is 3 x 17 x 32 x 143 = 233376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/233376
Therefore, the GCF of Fractions 471/51,944/96,814/143 is 1/233376
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 51,96,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,96,143) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,96,143) x common factors =1 x 3 = 3
LCM(51,96,143) = ( 51 × 96 × 143 ) / 3
LCM(51,96,143) = 700128 / 3
LCM(51,96,143) = 233376
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 471/51, 944/96, 814/143?
Answer: GCF of Numerators as per given numbers 471/51, 944/96, 814/143 is
GCF of Numerators i.e. for 471,944,814 is 1
LCM of denominators i.e. for 51,96,143 is 233376.
Thus, GCF of Fractions is 1/233376.Finally, GCF of Fractions for 471/51, 944/96, 814/143 is 1/233376.