Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/11,11/99,45/53,33/450
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 63,11,45,33
Greatest Common Factor of Numerators i.e. GCF of 63,11,45,33 is 1 .
LCM of Denominators means LCM of 11,99,53,450 as per the given fractions.
LCM of 11,99,53,450 is 262350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,11,45,33
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Greatest Common Factor
We found the factors 63,11,45,33 . The biggest common factor number is the GCF number.
So the greatest common factor 63,11,45,33 is 1.
Lets's calculate LCM of 11,99,53,450
3 | 11, 99, 53, 450 |
3 | 11, 33, 53, 150 |
11 | 11, 11, 53, 50 |
1, 1, 53, 50 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 1 x 1 x 53 x 50 = 262350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262350
Therefore, the GCF of Fractions 63/11,11/99,45/53,33/450 is 1/262350
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 11,99,53,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,99,53,450) = 1
common factors(in case of two or more numbers have common factors) = 99
GCF(11,99,53,450) x common factors =1 x 99 = 99
LCM(11,99,53,450) = ( 11 × 99 × 53 × 450 ) / 99
LCM(11,99,53,450) = 25972650 / 99
LCM(11,99,53,450) = 262350
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 63/11, 11/99, 45/53, 33/450?
Answer: GCF of Numerators as per given numbers 63/11, 11/99, 45/53, 33/450 is
GCF of Numerators i.e. for 63,11,45,33 is 1
LCM of denominators i.e. for 11,99,53,450 is 262350.
Thus, GCF of Fractions is 1/262350.Finally, GCF of Fractions for 63/11, 11/99, 45/53, 33/450 is 1/262350.