Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/65,15/74,309/854
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 83,15,309
Greatest Common Factor of Numerators i.e. GCF of 83,15,309 is 1 .
LCM of Denominators means LCM of 65,74,854 as per the given fractions.
LCM of 65,74,854 is 2053870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,15,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Greatest Common Factor
We found the factors 83,15,309 . The biggest common factor number is the GCF number.
So the greatest common factor 83,15,309 is 1.
Lets's calculate LCM of 65,74,854
2 | 65, 74, 854 |
65, 37, 427 |
∴ So the LCM of the given numbers is 2 x 65 x 37 x 427 = 2053870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2053870
Therefore, the GCF of Fractions 83/65,15/74,309/854 is 1/2053870
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 65,74,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,74,854) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(65,74,854) x common factors =1 x 2 = 2
LCM(65,74,854) = ( 65 × 74 × 854 ) / 2
LCM(65,74,854) = 4107740 / 2
LCM(65,74,854) = 2053870
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 83/65, 15/74, 309/854?
Answer: GCF of Numerators as per given numbers 83/65, 15/74, 309/854 is
GCF of Numerators i.e. for 83,15,309 is 1
LCM of denominators i.e. for 65,74,854 is 2053870.
Thus, GCF of Fractions is 1/2053870.Finally, GCF of Fractions for 83/65, 15/74, 309/854 is 1/2053870.