Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 27/71,89/28,86/84,16/884
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 27,89,86,16
Greatest Common Factor of Numerators i.e. GCF of 27,89,86,16 is 1 .
LCM of Denominators means LCM of 71,28,84,884 as per the given fractions.
LCM of 71,28,84,884 is 1318044 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 27,89,86,16
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Greatest Common Factor
We found the factors 27,89,86,16 . The biggest common factor number is the GCF number.
So the greatest common factor 27,89,86,16 is 1.
Lets's calculate LCM of 71,28,84,884
2 | 71, 28, 84, 884 |
2 | 71, 14, 42, 442 |
7 | 71, 7, 21, 221 |
71, 1, 3, 221 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 71 x 1 x 3 x 221 = 1318044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1318044
Therefore, the GCF of Fractions 27/71,89/28,86/84,16/884 is 1/1318044
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 71,28,84,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,28,84,884) = 1
common factors(in case of two or more numbers have common factors) = 112
GCF(71,28,84,884) x common factors =1 x 112 = 112
LCM(71,28,84,884) = ( 71 × 28 × 84 × 884 ) / 112
LCM(71,28,84,884) = 147620928 / 112
LCM(71,28,84,884) = 1318044
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 27/71, 89/28, 86/84, 16/884?
Answer: GCF of Numerators as per given numbers 27/71, 89/28, 86/84, 16/884 is
GCF of Numerators i.e. for 27,89,86,16 is 1
LCM of denominators i.e. for 71,28,84,884 is 1318044.
Thus, GCF of Fractions is 1/1318044.Finally, GCF of Fractions for 27/71, 89/28, 86/84, 16/884 is 1/1318044.