Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/24,22/28,424/384
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 84,22,424
Greatest Common Factor of Numerators i.e. GCF of 84,22,424 is 2 .
LCM of Denominators means LCM of 24,28,384 as per the given fractions.
LCM of 24,28,384 is 2688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,22,424
2 | 84, 22, 424 |
42, 11, 212 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 84,22,424 . The biggest common factor number is the GCF number.
So the greatest common factor 84,22,424 is 2.
Lets's calculate LCM of 24,28,384
2 | 24, 28, 384 |
2 | 12, 14, 192 |
2 | 6, 7, 96 |
3 | 3, 7, 48 |
1, 7, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 7 x 16 = 2688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2688
Therefore, the GCF of Fractions 84/24,22/28,424/384 is 2/2688
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 24,28,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,28,384) = 4
common factors(in case of two or more numbers have common factors) = 24
GCF(24,28,384) x common factors =4 x 24 = 96
LCM(24,28,384) = ( 24 × 28 × 384 ) / 96
LCM(24,28,384) = 258048 / 96
LCM(24,28,384) = 2688
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 84/24, 22/28, 424/384?
Answer: GCF of Numerators as per given numbers 84/24, 22/28, 424/384 is
GCF of Numerators i.e. for 84,22,424 is 2
LCM of denominators i.e. for 24,28,384 is 2688.
Thus, GCF of Fractions is 2/2688.Finally, GCF of Fractions for 84/24, 22/28, 424/384 is 2/2688.