Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 999/95,665/31,635/466
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 999,665,635
Greatest Common Factor of Numerators i.e. GCF of 999,665,635 is 1 .
LCM of Denominators means LCM of 95,31,466 as per the given fractions.
LCM of 95,31,466 is 1372370 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 999,665,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 999,665,635 . The biggest common factor number is the GCF number.
So the greatest common factor 999,665,635 is 1.
Lets's calculate LCM of 95,31,466
Given numbers has no common factors except 1. So, there LCM is their product i.e 1372370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1372370
Therefore, the GCF of Fractions 999/95,665/31,635/466 is 1/1372370
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 95,31,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,31,466) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,31,466) x common factors =1 x 1 = 1
LCM(95,31,466) = ( 95 × 31 × 466 ) / 1
LCM(95,31,466) = 1372370 / 1
LCM(95,31,466) = 1372370
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 999/95, 665/31, 635/466?
Answer: GCF of Numerators as per given numbers 999/95, 665/31, 635/466 is
GCF of Numerators i.e. for 999,665,635 is 1
LCM of denominators i.e. for 95,31,466 is 1372370.
Thus, GCF of Fractions is 1/1372370.Finally, GCF of Fractions for 999/95, 665/31, 635/466 is 1/1372370.