Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6943/250,8887/2718
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 6943,8887
Greatest Common Factor of Numerators i.e. GCF of 6943,8887 is 1 .
LCM of Denominators means LCM of 250,2718 as per the given fractions.
LCM of 250,2718 is 339750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6943,8887
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6943
List of positive integer factors of 6943 that divides 6943 without a remainder.
1,53,131,6943
Factors of 8887
List of positive integer factors of 8887 that divides 8887 without a remainder.
1,8887
Greatest Common Factor
We found the factors 6943,8887 . The biggest common factor number is the GCF number.
So the greatest common factor 6943,8887 is 1.
Lets's calculate LCM of 250,2718
2 | 250, 2718 |
125, 1359 |
∴ So the LCM of the given numbers is 2 x 125 x 1359 = 339750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339750
Therefore, the GCF of Fractions 6943/250,8887/2718 is 1/339750
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 250,2718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,2718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(250,2718) x common factors =2 x 1 = 2
LCM(250,2718) = ( 250 × 2718 ) / 2
LCM(250,2718) = 679500 / 2
LCM(250,2718) = 339750
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 6943/250, 8887/2718?
Answer: GCF of Numerators as per given numbers 6943/250, 8887/2718 is
GCF of Numerators i.e. for 6943,8887 is 1
LCM of denominators i.e. for 250,2718 is 339750.
Thus, GCF of Fractions is 1/339750.Finally, GCF of Fractions for 6943/250, 8887/2718 is 1/339750.