Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5498/414,8649/804
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 5498,8649
Greatest Common Factor of Numerators i.e. GCF of 5498,8649 is 1 .
LCM of Denominators means LCM of 414,804 as per the given fractions.
LCM of 414,804 is 55476 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5498,8649
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5498
List of positive integer factors of 5498 that divides 5498 without a remainder.
1,2,2749,5498
Factors of 8649
List of positive integer factors of 8649 that divides 8649 without a remainder.
1,3,9,31,93,279,961,2883,8649
Greatest Common Factor
We found the factors 5498,8649 . The biggest common factor number is the GCF number.
So the greatest common factor 5498,8649 is 1.
Lets's calculate LCM of 414,804
2 | 414, 804 |
3 | 207, 402 |
69, 134 |
∴ So the LCM of the given numbers is 2 x 3 x 69 x 134 = 55476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55476
Therefore, the GCF of Fractions 5498/414,8649/804 is 1/55476
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 414,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,804) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(414,804) x common factors =6 x 1 = 6
LCM(414,804) = ( 414 × 804 ) / 6
LCM(414,804) = 332856 / 6
LCM(414,804) = 55476
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 5498/414, 8649/804?
Answer: GCF of Numerators as per given numbers 5498/414, 8649/804 is
GCF of Numerators i.e. for 5498,8649 is 1
LCM of denominators i.e. for 414,804 is 55476.
Thus, GCF of Fractions is 1/55476.Finally, GCF of Fractions for 5498/414, 8649/804 is 1/55476.