Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/13,65/484,812/116
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 34,65,812
Greatest Common Factor of Numerators i.e. GCF of 34,65,812 is 1 .
LCM of Denominators means LCM of 13,484,116 as per the given fractions.
LCM of 13,484,116 is 182468 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,65,812
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 34,65,812 . The biggest common factor number is the GCF number.
So the greatest common factor 34,65,812 is 1.
Lets's calculate LCM of 13,484,116
2 | 13, 484, 116 |
2 | 13, 242, 58 |
13, 121, 29 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 121 x 29 = 182468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182468
Therefore, the GCF of Fractions 34/13,65/484,812/116 is 1/182468
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 13,484,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,484,116) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(13,484,116) x common factors =1 x 4 = 4
LCM(13,484,116) = ( 13 × 484 × 116 ) / 4
LCM(13,484,116) = 729872 / 4
LCM(13,484,116) = 182468
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 34/13, 65/484, 812/116?
Answer: GCF of Numerators as per given numbers 34/13, 65/484, 812/116 is
GCF of Numerators i.e. for 34,65,812 is 1
LCM of denominators i.e. for 13,484,116 is 182468.
Thus, GCF of Fractions is 1/182468.Finally, GCF of Fractions for 34/13, 65/484, 812/116 is 1/182468.