Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3339/90,1824/830
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 3339,1824
Greatest Common Factor of Numerators i.e. GCF of 3339,1824 is 3 .
LCM of Denominators means LCM of 90,830 as per the given fractions.
LCM of 90,830 is 7470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3339,1824
3 | 3339, 1824 |
1113, 608 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3339
List of positive integer factors of 3339 that divides 3339 without a remainder.
1,3,7,9,21,53,63,159,371,477,1113,3339
Factors of 1824
List of positive integer factors of 1824 that divides 1824 without a remainder.
1,2,3,4,6,8,12,16,19,24,32,38,48,57,76,96,114,152,228,304,456,608,912,1824
Greatest Common Factor
We found the factors 3339,1824 . The biggest common factor number is the GCF number.
So the greatest common factor 3339,1824 is 3.
Lets's calculate LCM of 90,830
2 | 90, 830 |
5 | 45, 415 |
9, 83 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 83 = 7470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7470
Therefore, the GCF of Fractions 3339/90,1824/830 is 3/7470
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 90,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,830) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(90,830) x common factors =10 x 1 = 10
LCM(90,830) = ( 90 × 830 ) / 10
LCM(90,830) = 74700 / 10
LCM(90,830) = 7470
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 3339/90, 1824/830?
Answer: GCF of Numerators as per given numbers 3339/90, 1824/830 is
GCF of Numerators i.e. for 3339,1824 is 3
LCM of denominators i.e. for 90,830 is 7470.
Thus, GCF of Fractions is 3/7470.Finally, GCF of Fractions for 3339/90, 1824/830 is 3/7470.