Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 216/91,704/65,870/469
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 216,704,870
Greatest Common Factor of Numerators i.e. GCF of 216,704,870 is 2 .
LCM of Denominators means LCM of 91,65,469 as per the given fractions.
LCM of 91,65,469 is 30485 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 216,704,870
2 | 216, 704, 870 |
108, 352, 435 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
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 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 216,704,870 . The biggest common factor number is the GCF number.
So the greatest common factor 216,704,870 is 2.
Lets's calculate LCM of 91,65,469
7 | 91, 65, 469 |
13 | 13, 65, 67 |
1, 5, 67 |
∴ So the LCM of the given numbers is 7 x 13 x 1 x 5 x 67 = 30485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30485
Therefore, the GCF of Fractions 216/91,704/65,870/469 is 2/30485
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 91,65,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,65,469) = 1
common factors(in case of two or more numbers have common factors) = 91
GCF(91,65,469) x common factors =1 x 91 = 91
LCM(91,65,469) = ( 91 × 65 × 469 ) / 91
LCM(91,65,469) = 2774135 / 91
LCM(91,65,469) = 30485
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 216/91, 704/65, 870/469?
Answer: GCF of Numerators as per given numbers 216/91, 704/65, 870/469 is
GCF of Numerators i.e. for 216,704,870 is 2
LCM of denominators i.e. for 91,65,469 is 30485.
Thus, GCF of Fractions is 2/30485.Finally, GCF of Fractions for 216/91, 704/65, 870/469 is 2/30485.