Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 106/804,438/649,160/869
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 106,438,160
Greatest Common Factor of Numerators i.e. GCF of 106,438,160 is 2 .
LCM of Denominators means LCM of 804,649,869 as per the given fractions.
LCM of 804,649,869 is 41221884 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 106,438,160
2 | 106, 438, 160 |
53, 219, 80 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 106,438,160 . The biggest common factor number is the GCF number.
So the greatest common factor 106,438,160 is 2.
Lets's calculate LCM of 804,649,869
11 | 804, 649, 869 |
804, 59, 79 |
∴ So the LCM of the given numbers is 11 x 804 x 59 x 79 = 41221884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41221884
Therefore, the GCF of Fractions 106/804,438/649,160/869 is 2/41221884
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 804,649,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,649,869) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(804,649,869) x common factors =1 x 11 = 11
LCM(804,649,869) = ( 804 × 649 × 869 ) / 11
LCM(804,649,869) = 453440724 / 11
LCM(804,649,869) = 41221884
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 106/804, 438/649, 160/869?
Answer: GCF of Numerators as per given numbers 106/804, 438/649, 160/869 is
GCF of Numerators i.e. for 106,438,160 is 2
LCM of denominators i.e. for 804,649,869 is 41221884.
Thus, GCF of Fractions is 2/41221884.Finally, GCF of Fractions for 106/804, 438/649, 160/869 is 2/41221884.