Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 24/85,704/68,408/792
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 24,704,408
Greatest Common Factor of Numerators i.e. GCF of 24,704,408 is 8 .
LCM of Denominators means LCM of 85,68,792 as per the given fractions.
LCM of 85,68,792 is 67320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 24,704,408
2 | 24, 704, 408 |
2 | 12, 352, 204 |
2 | 6, 176, 102 |
3, 88, 51 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 24,704,408 . The biggest common factor number is the GCF number.
So the greatest common factor 24,704,408 is 8.
Lets's calculate LCM of 85,68,792
2 | 85, 68, 792 |
2 | 85, 34, 396 |
17 | 85, 17, 198 |
5, 1, 198 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 5 x 1 x 198 = 67320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/67320
Therefore, the GCF of Fractions 24/85,704/68,408/792 is 8/67320
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 85,68,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,68,792) = 1
common factors(in case of two or more numbers have common factors) = 68
GCF(85,68,792) x common factors =1 x 68 = 68
LCM(85,68,792) = ( 85 × 68 × 792 ) / 68
LCM(85,68,792) = 4577760 / 68
LCM(85,68,792) = 67320
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 24/85, 704/68, 408/792?
Answer: GCF of Numerators as per given numbers 24/85, 704/68, 408/792 is
GCF of Numerators i.e. for 24,704,408 is 8
LCM of denominators i.e. for 85,68,792 is 67320.
Thus, GCF of Fractions is 8/67320.Finally, GCF of Fractions for 24/85, 704/68, 408/792 is 8/67320.