Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 895/60,483/18,369/727
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 895,483,369
Greatest Common Factor of Numerators i.e. GCF of 895,483,369 is 1 .
LCM of Denominators means LCM of 60,18,727 as per the given fractions.
LCM of 60,18,727 is 130860 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 895,483,369
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Greatest Common Factor
We found the factors 895,483,369 . The biggest common factor number is the GCF number.
So the greatest common factor 895,483,369 is 1.
Lets's calculate LCM of 60,18,727
2 | 60, 18, 727 |
3 | 30, 9, 727 |
10, 3, 727 |
∴ So the LCM of the given numbers is 2 x 3 x 10 x 3 x 727 = 130860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130860
Therefore, the GCF of Fractions 895/60,483/18,369/727 is 1/130860
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 60,18,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,18,727) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(60,18,727) x common factors =1 x 6 = 6
LCM(60,18,727) = ( 60 × 18 × 727 ) / 6
LCM(60,18,727) = 785160 / 6
LCM(60,18,727) = 130860
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 895/60, 483/18, 369/727?
Answer: GCF of Numerators as per given numbers 895/60, 483/18, 369/727 is
GCF of Numerators i.e. for 895,483,369 is 1
LCM of denominators i.e. for 60,18,727 is 130860.
Thus, GCF of Fractions is 1/130860.Finally, GCF of Fractions for 895/60, 483/18, 369/727 is 1/130860.