Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/951,805/362,488/333
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 43,805,488
Greatest Common Factor of Numerators i.e. GCF of 43,805,488 is 1 .
LCM of Denominators means LCM of 951,362,333 as per the given fractions.
LCM of 951,362,333 is 38213082 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 43,805,488
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Greatest Common Factor
We found the factors 43,805,488 . The biggest common factor number is the GCF number.
So the greatest common factor 43,805,488 is 1.
Lets's calculate LCM of 951,362,333
3 | 951, 362, 333 |
317, 362, 111 |
∴ So the LCM of the given numbers is 3 x 317 x 362 x 111 = 38213082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38213082
Therefore, the GCF of Fractions 43/951,805/362,488/333 is 1/38213082
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 951,362,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(951,362,333) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(951,362,333) x common factors =1 x 3 = 3
LCM(951,362,333) = ( 951 × 362 × 333 ) / 3
LCM(951,362,333) = 114639246 / 3
LCM(951,362,333) = 38213082
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 43/951, 805/362, 488/333?
Answer: GCF of Numerators as per given numbers 43/951, 805/362, 488/333 is
GCF of Numerators i.e. for 43,805,488 is 1
LCM of denominators i.e. for 951,362,333 is 38213082.
Thus, GCF of Fractions is 1/38213082.Finally, GCF of Fractions for 43/951, 805/362, 488/333 is 1/38213082.