Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 166/32,819/52,804/879
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 166,819,804
Greatest Common Factor of Numerators i.e. GCF of 166,819,804 is 1 .
LCM of Denominators means LCM of 32,52,879 as per the given fractions.
LCM of 32,52,879 is 365664 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 166,819,804
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Greatest Common Factor
We found the factors 166,819,804 . The biggest common factor number is the GCF number.
So the greatest common factor 166,819,804 is 1.
Lets's calculate LCM of 32,52,879
2 | 32, 52, 879 |
2 | 16, 26, 879 |
8, 13, 879 |
∴ So the LCM of the given numbers is 2 x 2 x 8 x 13 x 879 = 365664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365664
Therefore, the GCF of Fractions 166/32,819/52,804/879 is 1/365664
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 32,52,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,52,879) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(32,52,879) x common factors =1 x 4 = 4
LCM(32,52,879) = ( 32 × 52 × 879 ) / 4
LCM(32,52,879) = 1462656 / 4
LCM(32,52,879) = 365664
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 166/32, 819/52, 804/879?
Answer: GCF of Numerators as per given numbers 166/32, 819/52, 804/879 is
GCF of Numerators i.e. for 166,819,804 is 1
LCM of denominators i.e. for 32,52,879 is 365664.
Thus, GCF of Fractions is 1/365664.Finally, GCF of Fractions for 166/32, 819/52, 804/879 is 1/365664.