Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/41,17/15,885/747
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 95,17,885
Greatest Common Factor of Numerators i.e. GCF of 95,17,885 is 1 .
LCM of Denominators means LCM of 41,15,747 as per the given fractions.
LCM of 41,15,747 is 153135 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,17,885
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 95,17,885 . The biggest common factor number is the GCF number.
So the greatest common factor 95,17,885 is 1.
Lets's calculate LCM of 41,15,747
3 | 41, 15, 747 |
41, 5, 249 |
∴ So the LCM of the given numbers is 3 x 41 x 5 x 249 = 153135
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/153135
Therefore, the GCF of Fractions 95/41,17/15,885/747 is 1/153135
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 41,15,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,15,747) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(41,15,747) x common factors =1 x 3 = 3
LCM(41,15,747) = ( 41 × 15 × 747 ) / 3
LCM(41,15,747) = 459405 / 3
LCM(41,15,747) = 153135
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 95/41, 17/15, 885/747?
Answer: GCF of Numerators as per given numbers 95/41, 17/15, 885/747 is
GCF of Numerators i.e. for 95,17,885 is 1
LCM of denominators i.e. for 41,15,747 is 153135.
Thus, GCF of Fractions is 1/153135.Finally, GCF of Fractions for 95/41, 17/15, 885/747 is 1/153135.