Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3179/777,2568/217
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 3179,2568
Greatest Common Factor of Numerators i.e. GCF of 3179,2568 is 1 .
LCM of Denominators means LCM of 777,217 as per the given fractions.
LCM of 777,217 is 24087 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3179,2568
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3179
List of positive integer factors of 3179 that divides 3179 without a remainder.
1,11,17,187,289,3179
Factors of 2568
List of positive integer factors of 2568 that divides 2568 without a remainder.
1,2,3,4,6,8,12,24,107,214,321,428,642,856,1284,2568
Greatest Common Factor
We found the factors 3179,2568 . The biggest common factor number is the GCF number.
So the greatest common factor 3179,2568 is 1.
Lets's calculate LCM of 777,217
7 | 777, 217 |
111, 31 |
∴ So the LCM of the given numbers is 7 x 111 x 31 = 24087
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24087
Therefore, the GCF of Fractions 3179/777,2568/217 is 1/24087
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 777,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,217) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(777,217) x common factors =7 x 1 = 7
LCM(777,217) = ( 777 × 217 ) / 7
LCM(777,217) = 168609 / 7
LCM(777,217) = 24087
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 3179/777, 2568/217?
Answer: GCF of Numerators as per given numbers 3179/777, 2568/217 is
GCF of Numerators i.e. for 3179,2568 is 1
LCM of denominators i.e. for 777,217 is 24087.
Thus, GCF of Fractions is 1/24087.Finally, GCF of Fractions for 3179/777, 2568/217 is 1/24087.