Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 853/984,1030/489
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 853,1030
Greatest Common Factor of Numerators i.e. GCF of 853,1030 is 1 .
LCM of Denominators means LCM of 984,489 as per the given fractions.
LCM of 984,489 is 160392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 853,1030
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 853
List of positive integer factors of 853 that divides 853 without a remainder.
1,853
Factors of 1030
List of positive integer factors of 1030 that divides 1030 without a remainder.
1,2,5,10,103,206,515,1030
Greatest Common Factor
We found the factors 853,1030 . The biggest common factor number is the GCF number.
So the greatest common factor 853,1030 is 1.
Lets's calculate LCM of 984,489
3 | 984, 489 |
328, 163 |
∴ So the LCM of the given numbers is 3 x 328 x 163 = 160392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160392
Therefore, the GCF of Fractions 853/984,1030/489 is 1/160392
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 984,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,489) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(984,489) x common factors =3 x 1 = 3
LCM(984,489) = ( 984 × 489 ) / 3
LCM(984,489) = 481176 / 3
LCM(984,489) = 160392
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 853/984, 1030/489?
Answer: GCF of Numerators as per given numbers 853/984, 1030/489 is
GCF of Numerators i.e. for 853,1030 is 1
LCM of denominators i.e. for 984,489 is 160392.
Thus, GCF of Fractions is 1/160392.Finally, GCF of Fractions for 853/984, 1030/489 is 1/160392.