Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 143/80,511/94,828/45
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 143,511,828
Greatest Common Factor of Numerators i.e. GCF of 143,511,828 is 1 .
LCM of Denominators means LCM of 80,94,45 as per the given fractions.
LCM of 80,94,45 is 33840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 143,511,828
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 143,511,828 . The biggest common factor number is the GCF number.
So the greatest common factor 143,511,828 is 1.
Lets's calculate LCM of 80,94,45
2 | 80, 94, 45 |
5 | 40, 47, 45 |
8, 47, 9 |
∴ So the LCM of the given numbers is 2 x 5 x 8 x 47 x 9 = 33840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33840
Therefore, the GCF of Fractions 143/80,511/94,828/45 is 1/33840
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 80,94,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,94,45) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(80,94,45) x common factors =1 x 10 = 10
LCM(80,94,45) = ( 80 × 94 × 45 ) / 10
LCM(80,94,45) = 338400 / 10
LCM(80,94,45) = 33840
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 143/80, 511/94, 828/45?
Answer: GCF of Numerators as per given numbers 143/80, 511/94, 828/45 is
GCF of Numerators i.e. for 143,511,828 is 1
LCM of denominators i.e. for 80,94,45 is 33840.
Thus, GCF of Fractions is 1/33840.Finally, GCF of Fractions for 143/80, 511/94, 828/45 is 1/33840.