Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 899/722,303/999,393/692
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 899,303,393
Greatest Common Factor of Numerators i.e. GCF of 899,303,393 is 1 .
LCM of Denominators means LCM of 722,999,692 as per the given fractions.
LCM of 722,999,692 is 249562188 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 899,303,393
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 393
List of positive integer factors of 393 that divides 393 without a remainder.
1,3,131,393
Greatest Common Factor
We found the factors 899,303,393 . The biggest common factor number is the GCF number.
So the greatest common factor 899,303,393 is 1.
Lets's calculate LCM of 722,999,692
2 | 722, 999, 692 |
361, 999, 346 |
∴ So the LCM of the given numbers is 2 x 361 x 999 x 346 = 249562188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249562188
Therefore, the GCF of Fractions 899/722,303/999,393/692 is 1/249562188
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 722,999,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,999,692) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(722,999,692) x common factors =1 x 2 = 2
LCM(722,999,692) = ( 722 × 999 × 692 ) / 2
LCM(722,999,692) = 499124376 / 2
LCM(722,999,692) = 249562188
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 899/722, 303/999, 393/692?
Answer: GCF of Numerators as per given numbers 899/722, 303/999, 393/692 is
GCF of Numerators i.e. for 899,303,393 is 1
LCM of denominators i.e. for 722,999,692 is 249562188.
Thus, GCF of Fractions is 1/249562188.Finally, GCF of Fractions for 899/722, 303/999, 393/692 is 1/249562188.