Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3391/15,2887/756
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 3391,2887
Greatest Common Factor of Numerators i.e. GCF of 3391,2887 is 1 .
LCM of Denominators means LCM of 15,756 as per the given fractions.
LCM of 15,756 is 3780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3391,2887
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3391
List of positive integer factors of 3391 that divides 3391 without a remainder.
1,3391
Factors of 2887
List of positive integer factors of 2887 that divides 2887 without a remainder.
1,2887
Greatest Common Factor
We found the factors 3391,2887 . The biggest common factor number is the GCF number.
So the greatest common factor 3391,2887 is 1.
Lets's calculate LCM of 15,756
3 | 15, 756 |
5, 252 |
∴ So the LCM of the given numbers is 3 x 5 x 252 = 3780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3780
Therefore, the GCF of Fractions 3391/15,2887/756 is 1/3780
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 15,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,756) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(15,756) x common factors =3 x 1 = 3
LCM(15,756) = ( 15 × 756 ) / 3
LCM(15,756) = 11340 / 3
LCM(15,756) = 3780
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 3391/15, 2887/756?
Answer: GCF of Numerators as per given numbers 3391/15, 2887/756 is
GCF of Numerators i.e. for 3391,2887 is 1
LCM of denominators i.e. for 15,756 is 3780.
Thus, GCF of Fractions is 1/3780.Finally, GCF of Fractions for 3391/15, 2887/756 is 1/3780.