Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/33,17/69,621/495
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 99,17,621
Greatest Common Factor of Numerators i.e. GCF of 99,17,621 is 1 .
LCM of Denominators means LCM of 33,69,495 as per the given fractions.
LCM of 33,69,495 is 11385 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 99,17,621
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Greatest Common Factor
We found the factors 99,17,621 . The biggest common factor number is the GCF number.
So the greatest common factor 99,17,621 is 1.
Lets's calculate LCM of 33,69,495
3 | 33, 69, 495 |
11 | 11, 23, 165 |
1, 23, 15 |
∴ So the LCM of the given numbers is 3 x 11 x 1 x 23 x 15 = 11385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11385
Therefore, the GCF of Fractions 99/33,17/69,621/495 is 1/11385
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 33,69,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,69,495) = 3
common factors(in case of two or more numbers have common factors) = 33
GCF(33,69,495) x common factors =3 x 33 = 99
LCM(33,69,495) = ( 33 × 69 × 495 ) / 99
LCM(33,69,495) = 1127115 / 99
LCM(33,69,495) = 11385
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 99/33, 17/69, 621/495?
Answer: GCF of Numerators as per given numbers 99/33, 17/69, 621/495 is
GCF of Numerators i.e. for 99,17,621 is 1
LCM of denominators i.e. for 33,69,495 is 11385.
Thus, GCF of Fractions is 1/11385.Finally, GCF of Fractions for 99/33, 17/69, 621/495 is 1/11385.