Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3/19,14/70,65/690,747/255
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 3,14,65,747
Greatest Common Factor of Numerators i.e. GCF of 3,14,65,747 is 1 .
LCM of Denominators means LCM of 19,70,690,255 as per the given fractions.
LCM of 19,70,690,255 is 1560090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3,14,65,747
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1,3
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Greatest Common Factor
We found the factors 3,14,65,747 . The biggest common factor number is the GCF number.
So the greatest common factor 3,14,65,747 is 1.
Lets's calculate LCM of 19,70,690,255
2 | 19, 70, 690, 255 |
3 | 19, 35, 345, 255 |
5 | 19, 35, 115, 85 |
19, 7, 23, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 7 x 23 x 17 = 1560090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1560090
Therefore, the GCF of Fractions 3/19,14/70,65/690,747/255 is 1/1560090
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 19,70,690,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,70,690,255) = 1
common factors(in case of two or more numbers have common factors) = 150
GCF(19,70,690,255) x common factors =1 x 150 = 150
LCM(19,70,690,255) = ( 19 × 70 × 690 × 255 ) / 150
LCM(19,70,690,255) = 234013500 / 150
LCM(19,70,690,255) = 1560090
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 3/19, 14/70, 65/690, 747/255?
Answer: GCF of Numerators as per given numbers 3/19, 14/70, 65/690, 747/255 is
GCF of Numerators i.e. for 3,14,65,747 is 1
LCM of denominators i.e. for 19,70,690,255 is 1560090.
Thus, GCF of Fractions is 1/1560090.Finally, GCF of Fractions for 3/19, 14/70, 65/690, 747/255 is 1/1560090.