Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 433/880,348/363,161/434
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 433,348,161
Greatest Common Factor of Numerators i.e. GCF of 433,348,161 is 1 .
LCM of Denominators means LCM of 880,363,434 as per the given fractions.
LCM of 880,363,434 is 6301680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 433,348,161
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Greatest Common Factor
We found the factors 433,348,161 . The biggest common factor number is the GCF number.
So the greatest common factor 433,348,161 is 1.
Lets's calculate LCM of 880,363,434
2 | 880, 363, 434 |
11 | 440, 363, 217 |
40, 33, 217 |
∴ So the LCM of the given numbers is 2 x 11 x 40 x 33 x 217 = 6301680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6301680
Therefore, the GCF of Fractions 433/880,348/363,161/434 is 1/6301680
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 880,363,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,363,434) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(880,363,434) x common factors =1 x 22 = 22
LCM(880,363,434) = ( 880 × 363 × 434 ) / 22
LCM(880,363,434) = 138636960 / 22
LCM(880,363,434) = 6301680
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 433/880, 348/363, 161/434?
Answer: GCF of Numerators as per given numbers 433/880, 348/363, 161/434 is
GCF of Numerators i.e. for 433,348,161 is 1
LCM of denominators i.e. for 880,363,434 is 6301680.
Thus, GCF of Fractions is 1/6301680.Finally, GCF of Fractions for 433/880, 348/363, 161/434 is 1/6301680.