Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/99,56/88,950/594
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 84,56,950
Greatest Common Factor of Numerators i.e. GCF of 84,56,950 is 2 .
LCM of Denominators means LCM of 99,88,594 as per the given fractions.
LCM of 99,88,594 is 2376 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,56,950
2 | 84, 56, 950 |
42, 28, 475 |
∴ 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 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 84,56,950 . The biggest common factor number is the GCF number.
So the greatest common factor 84,56,950 is 2.
Lets's calculate LCM of 99,88,594
2 | 99, 88, 594 |
3 | 99, 44, 297 |
3 | 33, 44, 99 |
11 | 11, 44, 33 |
1, 4, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 4 x 3 = 2376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2376
Therefore, the GCF of Fractions 84/99,56/88,950/594 is 2/2376
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 99,88,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,88,594) = 11
common factors(in case of two or more numbers have common factors) = 198
GCF(99,88,594) x common factors =11 x 198 = 2178
LCM(99,88,594) = ( 99 × 88 × 594 ) / 2178
LCM(99,88,594) = 5174928 / 2178
LCM(99,88,594) = 2376
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 84/99, 56/88, 950/594?
Answer: GCF of Numerators as per given numbers 84/99, 56/88, 950/594 is
GCF of Numerators i.e. for 84,56,950 is 2
LCM of denominators i.e. for 99,88,594 is 2376.
Thus, GCF of Fractions is 2/2376.Finally, GCF of Fractions for 84/99, 56/88, 950/594 is 2/2376.