Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/53,72/793,210/283
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 65,72,210
Greatest Common Factor of Numerators i.e. GCF of 65,72,210 is 1 .
LCM of Denominators means LCM of 53,793,283 as per the given fractions.
LCM of 53,793,283 is 11894207 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 65,72,210
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Greatest Common Factor
We found the factors 65,72,210 . The biggest common factor number is the GCF number.
So the greatest common factor 65,72,210 is 1.
Lets's calculate LCM of 53,793,283
Given numbers has no common factors except 1. So, there LCM is their product i.e 11894207
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11894207
Therefore, the GCF of Fractions 65/53,72/793,210/283 is 1/11894207
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 53,793,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,793,283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,793,283) x common factors =1 x 1 = 1
LCM(53,793,283) = ( 53 × 793 × 283 ) / 1
LCM(53,793,283) = 11894207 / 1
LCM(53,793,283) = 11894207
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 65/53, 72/793, 210/283?
Answer: GCF of Numerators as per given numbers 65/53, 72/793, 210/283 is
GCF of Numerators i.e. for 65,72,210 is 1
LCM of denominators i.e. for 53,793,283 is 11894207.
Thus, GCF of Fractions is 1/11894207.Finally, GCF of Fractions for 65/53, 72/793, 210/283 is 1/11894207.