Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 900/77,966/65,411/915
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 900,966,411
Greatest Common Factor of Numerators i.e. GCF of 900,966,411 is 3 .
LCM of Denominators means LCM of 77,65,915 as per the given fractions.
LCM of 77,65,915 is 915915 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 900,966,411
3 | 900, 966, 411 |
300, 322, 137 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 900,966,411 . The biggest common factor number is the GCF number.
So the greatest common factor 900,966,411 is 3.
Lets's calculate LCM of 77,65,915
5 | 77, 65, 915 |
77, 13, 183 |
∴ So the LCM of the given numbers is 5 x 77 x 13 x 183 = 915915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/915915
Therefore, the GCF of Fractions 900/77,966/65,411/915 is 3/915915
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 77,65,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,65,915) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(77,65,915) x common factors =1 x 5 = 5
LCM(77,65,915) = ( 77 × 65 × 915 ) / 5
LCM(77,65,915) = 4579575 / 5
LCM(77,65,915) = 915915
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 900/77, 966/65, 411/915?
Answer: GCF of Numerators as per given numbers 900/77, 966/65, 411/915 is
GCF of Numerators i.e. for 900,966,411 is 3
LCM of denominators i.e. for 77,65,915 is 915915.
Thus, GCF of Fractions is 3/915915.Finally, GCF of Fractions for 900/77, 966/65, 411/915 is 3/915915.