Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 554/982,6610/466
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 554,6610
Greatest Common Factor of Numerators i.e. GCF of 554,6610 is 2 .
LCM of Denominators means LCM of 982,466 as per the given fractions.
LCM of 982,466 is 228806 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 554,6610
2 | 554, 6610 |
277, 3305 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 6610
List of positive integer factors of 6610 that divides 6610 without a remainder.
1,2,5,10,661,1322,3305,6610
Greatest Common Factor
We found the factors 554,6610 . The biggest common factor number is the GCF number.
So the greatest common factor 554,6610 is 2.
Lets's calculate LCM of 982,466
2 | 982, 466 |
491, 233 |
∴ So the LCM of the given numbers is 2 x 491 x 233 = 228806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/228806
Therefore, the GCF of Fractions 554/982,6610/466 is 2/228806
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 982,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(982,466) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(982,466) x common factors =2 x 1 = 2
LCM(982,466) = ( 982 × 466 ) / 2
LCM(982,466) = 457612 / 2
LCM(982,466) = 228806
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 554/982, 6610/466?
Answer: GCF of Numerators as per given numbers 554/982, 6610/466 is
GCF of Numerators i.e. for 554,6610 is 2
LCM of denominators i.e. for 982,466 is 228806.
Thus, GCF of Fractions is 2/228806.Finally, GCF of Fractions for 554/982, 6610/466 is 2/228806.