Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/997,414/804
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 81,414
Greatest Common Factor of Numerators i.e. GCF of 81,414 is 9 .
LCM of Denominators means LCM of 997,804 as per the given fractions.
LCM of 997,804 is 801588 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,414
3 | 81, 414 |
3 | 27, 138 |
9, 46 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 81,414 . The biggest common factor number is the GCF number.
So the greatest common factor 81,414 is 9.
Lets's calculate LCM of 997,804
Given numbers has no common factors except 1. So, there LCM is their product i.e 801588
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/801588
Therefore, the GCF of Fractions 81/997,414/804 is 9/801588
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 997,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,804) x common factors =1 x 1 = 1
LCM(997,804) = ( 997 × 804 ) / 1
LCM(997,804) = 801588 / 1
LCM(997,804) = 801588
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 81/997, 414/804?
Answer: GCF of Numerators as per given numbers 81/997, 414/804 is
GCF of Numerators i.e. for 81,414 is 9
LCM of denominators i.e. for 997,804 is 801588.
Thus, GCF of Fractions is 9/801588.Finally, GCF of Fractions for 81/997, 414/804 is 9/801588.