Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 781/18,208/99,665/72
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 781,208,665
Greatest Common Factor of Numerators i.e. GCF of 781,208,665 is 1 .
LCM of Denominators means LCM of 18,99,72 as per the given fractions.
LCM of 18,99,72 is 792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 781,208,665
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 781,208,665 . The biggest common factor number is the GCF number.
So the greatest common factor 781,208,665 is 1.
Lets's calculate LCM of 18,99,72
2 | 18, 99, 72 |
3 | 9, 99, 36 |
3 | 3, 33, 12 |
1, 11, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 11 x 4 = 792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/792
Therefore, the GCF of Fractions 781/18,208/99,665/72 is 1/792
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 18,99,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,99,72) = 9
common factors(in case of two or more numbers have common factors) = 18
GCF(18,99,72) x common factors =9 x 18 = 162
LCM(18,99,72) = ( 18 × 99 × 72 ) / 162
LCM(18,99,72) = 128304 / 162
LCM(18,99,72) = 792
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 781/18, 208/99, 665/72?
Answer: GCF of Numerators as per given numbers 781/18, 208/99, 665/72 is
GCF of Numerators i.e. for 781,208,665 is 1
LCM of denominators i.e. for 18,99,72 is 792.
Thus, GCF of Fractions is 1/792.Finally, GCF of Fractions for 781/18, 208/99, 665/72 is 1/792.