Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 173/682,883/857,399/959
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 173,883,399
Greatest Common Factor of Numerators i.e. GCF of 173,883,399 is 1 .
LCM of Denominators means LCM of 682,857,959 as per the given fractions.
LCM of 682,857,959 is 560510566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 173,883,399
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 883
List of positive integer factors of 883 that divides 883 without a remainder.
1,883
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 173,883,399 . The biggest common factor number is the GCF number.
So the greatest common factor 173,883,399 is 1.
Lets's calculate LCM of 682,857,959
Given numbers has no common factors except 1. So, there LCM is their product i.e 560510566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/560510566
Therefore, the GCF of Fractions 173/682,883/857,399/959 is 1/560510566
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 682,857,959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,857,959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,857,959) x common factors =1 x 1 = 1
LCM(682,857,959) = ( 682 × 857 × 959 ) / 1
LCM(682,857,959) = 560510566 / 1
LCM(682,857,959) = 560510566
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 173/682, 883/857, 399/959?
Answer: GCF of Numerators as per given numbers 173/682, 883/857, 399/959 is
GCF of Numerators i.e. for 173,883,399 is 1
LCM of denominators i.e. for 682,857,959 is 560510566.
Thus, GCF of Fractions is 1/560510566.Finally, GCF of Fractions for 173/682, 883/857, 399/959 is 1/560510566.