Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 965/77,760/55,326/806
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 965,760,326
Greatest Common Factor of Numerators i.e. GCF of 965,760,326 is 1 .
LCM of Denominators means LCM of 77,55,806 as per the given fractions.
LCM of 77,55,806 is 310310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 965,760,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 965,760,326 . The biggest common factor number is the GCF number.
So the greatest common factor 965,760,326 is 1.
Lets's calculate LCM of 77,55,806
11 | 77, 55, 806 |
7, 5, 806 |
∴ So the LCM of the given numbers is 11 x 7 x 5 x 806 = 310310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310310
Therefore, the GCF of Fractions 965/77,760/55,326/806 is 1/310310
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 77,55,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,55,806) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(77,55,806) x common factors =1 x 11 = 11
LCM(77,55,806) = ( 77 × 55 × 806 ) / 11
LCM(77,55,806) = 3413410 / 11
LCM(77,55,806) = 310310
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 965/77, 760/55, 326/806?
Answer: GCF of Numerators as per given numbers 965/77, 760/55, 326/806 is
GCF of Numerators i.e. for 965,760,326 is 1
LCM of denominators i.e. for 77,55,806 is 310310.
Thus, GCF of Fractions is 1/310310.Finally, GCF of Fractions for 965/77, 760/55, 326/806 is 1/310310.