Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 500/516,842/310,399/986
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 500,842,399
Greatest Common Factor of Numerators i.e. GCF of 500,842,399 is 1 .
LCM of Denominators means LCM of 516,310,986 as per the given fractions.
LCM of 516,310,986 is 39430140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 500,842,399
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
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 500,842,399 . The biggest common factor number is the GCF number.
So the greatest common factor 500,842,399 is 1.
Lets's calculate LCM of 516,310,986
2 | 516, 310, 986 |
258, 155, 493 |
∴ So the LCM of the given numbers is 2 x 258 x 155 x 493 = 39430140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39430140
Therefore, the GCF of Fractions 500/516,842/310,399/986 is 1/39430140
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 516,310,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,310,986) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(516,310,986) x common factors =2 x 2 = 4
LCM(516,310,986) = ( 516 × 310 × 986 ) / 4
LCM(516,310,986) = 157720560 / 4
LCM(516,310,986) = 39430140
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 500/516, 842/310, 399/986?
Answer: GCF of Numerators as per given numbers 500/516, 842/310, 399/986 is
GCF of Numerators i.e. for 500,842,399 is 1
LCM of denominators i.e. for 516,310,986 is 39430140.
Thus, GCF of Fractions is 1/39430140.Finally, GCF of Fractions for 500/516, 842/310, 399/986 is 1/39430140.