Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/24,84/17,70/72,37/96
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 99,84,70,37
Greatest Common Factor of Numerators i.e. GCF of 99,84,70,37 is 1 .
LCM of Denominators means LCM of 24,17,72,96 as per the given fractions.
LCM of 24,17,72,96 is 4896 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 99,84,70,37
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
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 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Greatest Common Factor
We found the factors 99,84,70,37 . The biggest common factor number is the GCF number.
So the greatest common factor 99,84,70,37 is 1.
Lets's calculate LCM of 24,17,72,96
2 | 24, 17, 72, 96 |
2 | 12, 17, 36, 48 |
2 | 6, 17, 18, 24 |
3 | 3, 17, 9, 12 |
1, 17, 3, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 17 x 3 x 4 = 4896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4896
Therefore, the GCF of Fractions 99/24,84/17,70/72,37/96 is 1/4896
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 24,17,72,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,17,72,96) = 1
common factors(in case of two or more numbers have common factors) = 576
GCF(24,17,72,96) x common factors =1 x 576 = 576
LCM(24,17,72,96) = ( 24 × 17 × 72 × 96 ) / 576
LCM(24,17,72,96) = 2820096 / 576
LCM(24,17,72,96) = 4896
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 99/24, 84/17, 70/72, 37/96?
Answer: GCF of Numerators as per given numbers 99/24, 84/17, 70/72, 37/96 is
GCF of Numerators i.e. for 99,84,70,37 is 1
LCM of denominators i.e. for 24,17,72,96 is 4896.
Thus, GCF of Fractions is 1/4896.Finally, GCF of Fractions for 99/24, 84/17, 70/72, 37/96 is 1/4896.