Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 999/677,959/191,311/295
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 999,959,311
Greatest Common Factor of Numerators i.e. GCF of 999,959,311 is 1 .
LCM of Denominators means LCM of 677,191,295 as per the given fractions.
LCM of 677,191,295 is 38145565 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 999,959,311
∴ 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 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Greatest Common Factor
We found the factors 999,959,311 . The biggest common factor number is the GCF number.
So the greatest common factor 999,959,311 is 1.
Lets's calculate LCM of 677,191,295
Given numbers has no common factors except 1. So, there LCM is their product i.e 38145565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38145565
Therefore, the GCF of Fractions 999/677,959/191,311/295 is 1/38145565
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 677,191,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,191,295) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,191,295) x common factors =1 x 1 = 1
LCM(677,191,295) = ( 677 × 191 × 295 ) / 1
LCM(677,191,295) = 38145565 / 1
LCM(677,191,295) = 38145565
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 999/677, 959/191, 311/295?
Answer: GCF of Numerators as per given numbers 999/677, 959/191, 311/295 is
GCF of Numerators i.e. for 999,959,311 is 1
LCM of denominators i.e. for 677,191,295 is 38145565.
Thus, GCF of Fractions is 1/38145565.Finally, GCF of Fractions for 999/677, 959/191, 311/295 is 1/38145565.