Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3408/622,1260/243
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 3408,1260
Greatest Common Factor of Numerators i.e. GCF of 3408,1260 is 12 .
LCM of Denominators means LCM of 622,243 as per the given fractions.
LCM of 622,243 is 151146 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3408,1260
2 | 3408, 1260 |
2 | 1704, 630 |
3 | 852, 315 |
284, 105 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Factors of 3408
List of positive integer factors of 3408 that divides 3408 without a remainder.
1,2,3,4,6,8,12,16,24,48,71,142,213,284,426,568,852,1136,1704,3408
Factors of 1260
List of positive integer factors of 1260 that divides 1260 without a remainder.
1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260
Greatest Common Factor
We found the factors 3408,1260 . The biggest common factor number is the GCF number.
So the greatest common factor 3408,1260 is 12.
Lets's calculate LCM of 622,243
Given numbers has no common factors except 1. So, there LCM is their product i.e 151146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/151146
Therefore, the GCF of Fractions 3408/622,1260/243 is 12/151146
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 622,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(622,243) x common factors =1 x 1 = 1
LCM(622,243) = ( 622 × 243 ) / 1
LCM(622,243) = 151146 / 1
LCM(622,243) = 151146
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 3408/622, 1260/243?
Answer: GCF of Numerators as per given numbers 3408/622, 1260/243 is
GCF of Numerators i.e. for 3408,1260 is 12
LCM of denominators i.e. for 622,243 is 151146.
Thus, GCF of Fractions is 12/151146.Finally, GCF of Fractions for 3408/622, 1260/243 is 12/151146.