Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 819/868,195/707
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 819,195
Greatest Common Factor of Numerators i.e. GCF of 819,195 is 39 .
LCM of Denominators means LCM of 868,707 as per the given fractions.
LCM of 868,707 is 87668 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 819,195
3 | 819, 195 |
13 | 273, 65 |
21, 5 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 819,195 . The biggest common factor number is the GCF number.
So the greatest common factor 819,195 is 39.
Lets's calculate LCM of 868,707
7 | 868, 707 |
124, 101 |
∴ So the LCM of the given numbers is 7 x 124 x 101 = 87668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/87668
Therefore, the GCF of Fractions 819/868,195/707 is 39/87668
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 868,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,707) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(868,707) x common factors =7 x 1 = 7
LCM(868,707) = ( 868 × 707 ) / 7
LCM(868,707) = 613676 / 7
LCM(868,707) = 87668
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 819/868, 195/707?
Answer: GCF of Numerators as per given numbers 819/868, 195/707 is
GCF of Numerators i.e. for 819,195 is 39
LCM of denominators i.e. for 868,707 is 87668.
Thus, GCF of Fractions is 39/87668.Finally, GCF of Fractions for 819/868, 195/707 is 39/87668.