Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/784,479/735,908/510
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 56,479,908
Greatest Common Factor of Numerators i.e. GCF of 56,479,908 is 1 .
LCM of Denominators means LCM of 784,735,510 as per the given fractions.
LCM of 784,735,510 is 199920 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 56,479,908
∴ So GCF of numbers is 1 because of no common factors present between them.
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 479
List of positive integer factors of 479 that divides 479 without a remainder.
1,479
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Greatest Common Factor
We found the factors 56,479,908 . The biggest common factor number is the GCF number.
So the greatest common factor 56,479,908 is 1.
Lets's calculate LCM of 784,735,510
2 | 784, 735, 510 |
3 | 392, 735, 255 |
5 | 392, 245, 85 |
7 | 392, 49, 17 |
7 | 56, 7, 17 |
8, 1, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 7 x 8 x 1 x 17 = 199920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199920
Therefore, the GCF of Fractions 56/784,479/735,908/510 is 1/199920
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 784,735,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,735,510) = 1
common factors(in case of two or more numbers have common factors) = 1470
GCF(784,735,510) x common factors =1 x 1470 = 1470
LCM(784,735,510) = ( 784 × 735 × 510 ) / 1470
LCM(784,735,510) = 293882400 / 1470
LCM(784,735,510) = 199920
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 56/784, 479/735, 908/510?
Answer: GCF of Numerators as per given numbers 56/784, 479/735, 908/510 is
GCF of Numerators i.e. for 56,479,908 is 1
LCM of denominators i.e. for 784,735,510 is 199920.
Thus, GCF of Fractions is 1/199920.Finally, GCF of Fractions for 56/784, 479/735, 908/510 is 1/199920.