Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1019/747,8647/588
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 1019,8647
Greatest Common Factor of Numerators i.e. GCF of 1019,8647 is 1 .
LCM of Denominators means LCM of 747,588 as per the given fractions.
LCM of 747,588 is 146412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1019,8647
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1019
List of positive integer factors of 1019 that divides 1019 without a remainder.
1,1019
Factors of 8647
List of positive integer factors of 8647 that divides 8647 without a remainder.
1,8647
Greatest Common Factor
We found the factors 1019,8647 . The biggest common factor number is the GCF number.
So the greatest common factor 1019,8647 is 1.
Lets's calculate LCM of 747,588
3 | 747, 588 |
249, 196 |
∴ So the LCM of the given numbers is 3 x 249 x 196 = 146412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146412
Therefore, the GCF of Fractions 1019/747,8647/588 is 1/146412
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 747,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,588) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(747,588) x common factors =3 x 1 = 3
LCM(747,588) = ( 747 × 588 ) / 3
LCM(747,588) = 439236 / 3
LCM(747,588) = 146412
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 1019/747, 8647/588?
Answer: GCF of Numerators as per given numbers 1019/747, 8647/588 is
GCF of Numerators i.e. for 1019,8647 is 1
LCM of denominators i.e. for 747,588 is 146412.
Thus, GCF of Fractions is 1/146412.Finally, GCF of Fractions for 1019/747, 8647/588 is 1/146412.