Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 18/645,846/580
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 18,846
Greatest Common Factor of Numerators i.e. GCF of 18,846 is 18 .
LCM of Denominators means LCM of 645,580 as per the given fractions.
LCM of 645,580 is 74820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 18,846
2 | 18, 846 |
3 | 9, 423 |
3 | 3, 141 |
1, 47 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 18,846 . The biggest common factor number is the GCF number.
So the greatest common factor 18,846 is 18.
Lets's calculate LCM of 645,580
5 | 645, 580 |
129, 116 |
∴ So the LCM of the given numbers is 5 x 129 x 116 = 74820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/74820
Therefore, the GCF of Fractions 18/645,846/580 is 18/74820
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 645,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,580) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(645,580) x common factors =5 x 1 = 5
LCM(645,580) = ( 645 × 580 ) / 5
LCM(645,580) = 374100 / 5
LCM(645,580) = 74820
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 18/645, 846/580?
Answer: GCF of Numerators as per given numbers 18/645, 846/580 is
GCF of Numerators i.e. for 18,846 is 18
LCM of denominators i.e. for 645,580 is 74820.
Thus, GCF of Fractions is 18/74820.Finally, GCF of Fractions for 18/645, 846/580 is 18/74820.