Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 51/278,559/987
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 51,559
Greatest Common Factor of Numerators i.e. GCF of 51,559 is 1 .
LCM of Denominators means LCM of 278,987 as per the given fractions.
LCM of 278,987 is 274386 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 51,559
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Greatest Common Factor
We found the factors 51,559 . The biggest common factor number is the GCF number.
So the greatest common factor 51,559 is 1.
Lets's calculate LCM of 278,987
Given numbers has no common factors except 1. So, there LCM is their product i.e 274386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274386
Therefore, the GCF of Fractions 51/278,559/987 is 1/274386
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 278,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,987) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,987) x common factors =1 x 1 = 1
LCM(278,987) = ( 278 × 987 ) / 1
LCM(278,987) = 274386 / 1
LCM(278,987) = 274386
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 51/278, 559/987?
Answer: GCF of Numerators as per given numbers 51/278, 559/987 is
GCF of Numerators i.e. for 51,559 is 1
LCM of denominators i.e. for 278,987 is 274386.
Thus, GCF of Fractions is 1/274386.Finally, GCF of Fractions for 51/278, 559/987 is 1/274386.