Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 649/999,749/825,318/999
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 649,749,318
Greatest Common Factor of Numerators i.e. GCF of 649,749,318 is 1 .
LCM of Denominators means LCM of 999,825,999 as per the given fractions.
LCM of 999,825,999 is 274725 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 649,749,318
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 649,749,318 . The biggest common factor number is the GCF number.
So the greatest common factor 649,749,318 is 1.
Lets's calculate LCM of 999,825,999
3 | 999, 825, 999 |
3 | 333, 275, 333 |
3 | 111, 275, 111 |
37 | 37, 275, 37 |
1, 275, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 37 x 1 x 275 x 1 = 274725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274725
Therefore, the GCF of Fractions 649/999,749/825,318/999 is 1/274725
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 999,825,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,825,999) = 3
common factors(in case of two or more numbers have common factors) = 999
GCF(999,825,999) x common factors =3 x 999 = 2997
LCM(999,825,999) = ( 999 × 825 × 999 ) / 2997
LCM(999,825,999) = 823350825 / 2997
LCM(999,825,999) = 274725
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 649/999, 749/825, 318/999?
Answer: GCF of Numerators as per given numbers 649/999, 749/825, 318/999 is
GCF of Numerators i.e. for 649,749,318 is 1
LCM of denominators i.e. for 999,825,999 is 274725.
Thus, GCF of Fractions is 1/274725.Finally, GCF of Fractions for 649/999, 749/825, 318/999 is 1/274725.