Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/77,28/93,79/21,116/89
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 16,28,79,116
Greatest Common Factor of Numerators i.e. GCF of 16,28,79,116 is 1 .
LCM of Denominators means LCM of 77,93,21,89 as per the given fractions.
LCM of 77,93,21,89 is 637329 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 16,28,79,116
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 16,28,79,116 . The biggest common factor number is the GCF number.
So the greatest common factor 16,28,79,116 is 1.
Lets's calculate LCM of 77,93,21,89
3 | 77, 93, 21, 89 |
7 | 77, 31, 7, 89 |
11, 31, 1, 89 |
∴ So the LCM of the given numbers is 3 x 7 x 11 x 31 x 1 x 89 = 637329
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637329
Therefore, the GCF of Fractions 16/77,28/93,79/21,116/89 is 1/637329
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 77,93,21,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,93,21,89) = 1
common factors(in case of two or more numbers have common factors) = 21
GCF(77,93,21,89) x common factors =1 x 21 = 21
LCM(77,93,21,89) = ( 77 × 93 × 21 × 89 ) / 21
LCM(77,93,21,89) = 13383909 / 21
LCM(77,93,21,89) = 637329
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 16/77, 28/93, 79/21, 116/89?
Answer: GCF of Numerators as per given numbers 16/77, 28/93, 79/21, 116/89 is
GCF of Numerators i.e. for 16,28,79,116 is 1
LCM of denominators i.e. for 77,93,21,89 is 637329.
Thus, GCF of Fractions is 1/637329.Finally, GCF of Fractions for 16/77, 28/93, 79/21, 116/89 is 1/637329.