Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 241/87,298/28,587/795
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 241,298,587
Greatest Common Factor of Numerators i.e. GCF of 241,298,587 is 1 .
LCM of Denominators means LCM of 87,28,795 as per the given fractions.
LCM of 87,28,795 is 645540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 241,298,587
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Greatest Common Factor
We found the factors 241,298,587 . The biggest common factor number is the GCF number.
So the greatest common factor 241,298,587 is 1.
Lets's calculate LCM of 87,28,795
3 | 87, 28, 795 |
29, 28, 265 |
∴ So the LCM of the given numbers is 3 x 29 x 28 x 265 = 645540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/645540
Therefore, the GCF of Fractions 241/87,298/28,587/795 is 1/645540
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 87,28,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,28,795) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,28,795) x common factors =1 x 3 = 3
LCM(87,28,795) = ( 87 × 28 × 795 ) / 3
LCM(87,28,795) = 1936620 / 3
LCM(87,28,795) = 645540
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 241/87, 298/28, 587/795?
Answer: GCF of Numerators as per given numbers 241/87, 298/28, 587/795 is
GCF of Numerators i.e. for 241,298,587 is 1
LCM of denominators i.e. for 87,28,795 is 645540.
Thus, GCF of Fractions is 1/645540.Finally, GCF of Fractions for 241/87, 298/28, 587/795 is 1/645540.