Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/55,38/33,99/603,421/963
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 5,38,99,421
Greatest Common Factor of Numerators i.e. GCF of 5,38,99,421 is 1 .
LCM of Denominators means LCM of 55,33,603,963 as per the given fractions.
LCM of 55,33,603,963 is 3548655 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,38,99,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Greatest Common Factor
We found the factors 5,38,99,421 . The biggest common factor number is the GCF number.
So the greatest common factor 5,38,99,421 is 1.
Lets's calculate LCM of 55,33,603,963
3 | 55, 33, 603, 963 |
3 | 55, 11, 201, 321 |
11 | 55, 11, 67, 107 |
5, 1, 67, 107 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 5 x 1 x 67 x 107 = 3548655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3548655
Therefore, the GCF of Fractions 5/55,38/33,99/603,421/963 is 1/3548655
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 55,33,603,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,33,603,963) = 1
common factors(in case of two or more numbers have common factors) = 297
GCF(55,33,603,963) x common factors =1 x 297 = 297
LCM(55,33,603,963) = ( 55 × 33 × 603 × 963 ) / 297
LCM(55,33,603,963) = 1053950535 / 297
LCM(55,33,603,963) = 3548655
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 5/55, 38/33, 99/603, 421/963?
Answer: GCF of Numerators as per given numbers 5/55, 38/33, 99/603, 421/963 is
GCF of Numerators i.e. for 5,38,99,421 is 1
LCM of denominators i.e. for 55,33,603,963 is 3548655.
Thus, GCF of Fractions is 1/3548655.Finally, GCF of Fractions for 5/55, 38/33, 99/603, 421/963 is 1/3548655.