Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/24,81/96,95/884,862/884
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 6,81,95,862
Greatest Common Factor of Numerators i.e. GCF of 6,81,95,862 is 1 .
LCM of Denominators means LCM of 24,96,884,884 as per the given fractions.
LCM of 24,96,884,884 is 21216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,81,95,862
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Greatest Common Factor
We found the factors 6,81,95,862 . The biggest common factor number is the GCF number.
So the greatest common factor 6,81,95,862 is 1.
Lets's calculate LCM of 24,96,884,884
2 | 24, 96, 884, 884 |
2 | 12, 48, 442, 442 |
2 | 6, 24, 221, 221 |
3 | 3, 12, 221, 221 |
13 | 1, 4, 221, 221 |
17 | 1, 4, 17, 17 |
1, 4, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 17 x 1 x 4 x 1 x 1 = 21216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21216
Therefore, the GCF of Fractions 6/24,81/96,95/884,862/884 is 1/21216
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 24,96,884,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,96,884,884) = 4
common factors(in case of two or more numbers have common factors) = 21216
GCF(24,96,884,884) x common factors =4 x 21216 = 84864
LCM(24,96,884,884) = ( 24 × 96 × 884 × 884 ) / 84864
LCM(24,96,884,884) = 1800474624 / 84864
LCM(24,96,884,884) = 21216
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 6/24, 81/96, 95/884, 862/884?
Answer: GCF of Numerators as per given numbers 6/24, 81/96, 95/884, 862/884 is
GCF of Numerators i.e. for 6,81,95,862 is 1
LCM of denominators i.e. for 24,96,884,884 is 21216.
Thus, GCF of Fractions is 1/21216.Finally, GCF of Fractions for 6/24, 81/96, 95/884, 862/884 is 1/21216.