Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/65,125/45,932/326
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 89,125,932
Greatest Common Factor of Numerators i.e. GCF of 89,125,932 is 1 .
LCM of Denominators means LCM of 65,45,326 as per the given fractions.
LCM of 65,45,326 is 190710 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 89,125,932
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Greatest Common Factor
We found the factors 89,125,932 . The biggest common factor number is the GCF number.
So the greatest common factor 89,125,932 is 1.
Lets's calculate LCM of 65,45,326
5 | 65, 45, 326 |
13, 9, 326 |
∴ So the LCM of the given numbers is 5 x 13 x 9 x 326 = 190710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190710
Therefore, the GCF of Fractions 89/65,125/45,932/326 is 1/190710
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 65,45,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,45,326) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(65,45,326) x common factors =1 x 5 = 5
LCM(65,45,326) = ( 65 × 45 × 326 ) / 5
LCM(65,45,326) = 953550 / 5
LCM(65,45,326) = 190710
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 89/65, 125/45, 932/326?
Answer: GCF of Numerators as per given numbers 89/65, 125/45, 932/326 is
GCF of Numerators i.e. for 89,125,932 is 1
LCM of denominators i.e. for 65,45,326 is 190710.
Thus, GCF of Fractions is 1/190710.Finally, GCF of Fractions for 89/65, 125/45, 932/326 is 1/190710.