Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 84/61,65/95,122/791
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 84,65,122
Greatest Common Factor of Numerators i.e. GCF of 84,65,122 is 1 .
LCM of Denominators means LCM of 61,95,791 as per the given fractions.
LCM of 61,95,791 is 4583845 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 84,65,122
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 84,65,122 . The biggest common factor number is the GCF number.
So the greatest common factor 84,65,122 is 1.
Lets's calculate LCM of 61,95,791
Given numbers has no common factors except 1. So, there LCM is their product i.e 4583845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4583845
Therefore, the GCF of Fractions 84/61,65/95,122/791 is 1/4583845
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 61,95,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,95,791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,95,791) x common factors =1 x 1 = 1
LCM(61,95,791) = ( 61 × 95 × 791 ) / 1
LCM(61,95,791) = 4583845 / 1
LCM(61,95,791) = 4583845
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 84/61, 65/95, 122/791?
Answer: GCF of Numerators as per given numbers 84/61, 65/95, 122/791 is
GCF of Numerators i.e. for 84,65,122 is 1
LCM of denominators i.e. for 61,95,791 is 4583845.
Thus, GCF of Fractions is 1/4583845.Finally, GCF of Fractions for 84/61, 65/95, 122/791 is 1/4583845.